Example: 30 and 42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the common factors.
2 x 3 = 6, the GCF
The greatest of common factors of two or more numbers is called the greatest common factor, or GCF.
The great common factor of 16 and 18 is 2.Method 1: Listing FactorsList all the factors of both numbers and the highest factor that is the same is the greatest common factor.Factors of 16: 1, 2, 4, 8Factors of 18: 1, 2, 3, 6, 9The greatest common factor is 2.Method 2: Prime FactorizationFind the prime factorization of each number. The prime numbers that the numbers all share multiply to the great common factor.16 = 2 * 2 * 2 * 218 = 2 * 3 * 316 and 18 share one 2 as a prime factor. Therefore, the greatest common factor is 2.
121: 11-11 132: 2-2-3-11 Great common factor: 11 Method(s) used: # (used) The method to find the greatest common factor of numbers is to find the prime factorizations of each one, select all matching prime factors, and then multiply. # An alternative method is to find all of the factors of each, and then select the greatest number that appears in each list. # The final method only applies to some numbers; if one of the number is a factor of the other, then that number is the greatest common factor. This is because all numbers are factors of themselves, and that is their greatest factor. If it is also a factor of the other number, then it is definitely the greatest common factor.
No, a GCF is not always great than one. For example the GCF of 7 and 3 is 1.
The GCF is 8.
Any consecutive even numbers.
The greatest of common factors of two or more numbers is called the greatest common factor, or GCF.
The greatest common factor, or GCF, is the largest integer that divides evenly into two or more given numbers with no remainder.
The great common factor of 16 and 18 is 2.Method 1: Listing FactorsList all the factors of both numbers and the highest factor that is the same is the greatest common factor.Factors of 16: 1, 2, 4, 8Factors of 18: 1, 2, 3, 6, 9The greatest common factor is 2.Method 2: Prime FactorizationFind the prime factorization of each number. The prime numbers that the numbers all share multiply to the great common factor.16 = 2 * 2 * 2 * 218 = 2 * 3 * 316 and 18 share one 2 as a prime factor. Therefore, the greatest common factor is 2.
The greatest common factor of 30 and 75 is 15.Method 1: Listing FactorsList all the factors of both numbers and the highest factor that is the same is the greatest common factor.Factors of 30: 1, 2, 3, 5, 6, 10, 15Factors of 75: 1, 3, 5, 15, 25The greatest common factor is 15.Method 2: Prime FactorizationFind the prime factorization of each number. The prime numbers that the numbers all share multiply to the great common factor.30=2*3*575=3*5*53*5=1530 and 75 share one 3 and one 5. Therefore, the greatest common factor is 15.
In math, there is a least common multiple and a greatest common factor. These terms are used with two or more numbers. "Least" refers to lowest and "greatest" refers to largest. A "least great factor" would mean something like the smallest large factor.
56 and 105
27 factors to [3 3 3] 117 factors to [3 3 13] common factors are [3 3] = 9■
The greatest common factor of 54 and 72 is 18.Method 1: Listing FactorsList all the factors of both numbers and the highest factor that is the same is the greatest common factor.Factors of 54: 1, 2, 3, 6, 9, 18, 27Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 36The greatest common factor is 18.Method 2: Prime FactorizationFind the prime factorization of each number. The prime numbers that the numbers all share multiply to the great common factor.54=2*3*3*372=2*2*2*3*32*3*3=1854 and 72 share one 2 and two 3's. Therefore, the greatest common factor is 18.It is 18
The greatest common factor of 50 and 96 is 2.Method 1: Listing FactorsList all the factors of both numbers and the highest factor that is the same is the greatest common factor.Factors of 50: 1, 2, 5, 10, 25Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48The greatest common factor of 50 and 96 is 2.Method 2: Prime FactorizationFind the prime factorization of each number. The prime numbers that the numbers all share multiply to the great common factor.50: 2*5*596: 2*2*2*2*2*2*350 and 96 share one 2 as a prime factor. Therefore, the greatest common factor is 2.
The greatest common divisor is another name for the greatest common factor (GCF) and refers to the largest number that will divide into two or more numbers evenly with no remainder.
The greatest common factor of 24 and 30 is 6Method 1: Listing FactorsList all the factors of both numbers and the highest factor that is the same is the greatest common factor.Factors of 24: 1, 2, 3, 4, 6, 8, 12Factors of 30: 1, 2, 3, 5, 6, 10, 15The greatest common factor is 6.Method 2: Prime FactorizationFind the prime factorization of each number. The prime numbers that the numbers all share multiply to the great common factor.24=2*2*2*330=2*3*52*3=624 and 36 share one two and one three. Therefore, the greatest common factor is 6.