The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.
The greatest common factor of 138 and 345 is 69
The greatest common factor for {115, 230, 345} is 115. Note that 115 x 2 = 230, and 115 x 3 = 345.
There is neither a greatest common factor nor common factors of a single number, such as 345, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor.
690 is a composite number because it has factors other than 1 and itself. It is not a prime number.The 16 factors of 690 are 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, and 690.The factor pairs of 690 are 1 x 690, 2 x 345, 3 x 230, 5 x 138, 6 x 115, 10 x 69, 15 x 46, and 23 x 30.The proper factors of 690 are 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, and 345 or,if the definition you are using excludes 1, they are 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, and 345.The prime factors of 690 are 2, 3, 5, and 23.The 4 distinct prime factors (listing each prime factor only once) of 690 are 2, 3, 5, and 23.The prime factorization of 690 is 2 x 3 x 5 x 23.NOTE: There cannot be common factors, a greatest common factor, or a least common multiple because "common" refers to factors or multiples that two or more numbers have in common.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690.
Prime factorization of 18 = 2 x 3 x 3 Prime factorization of 45 = 3 x 3 x 5 Prime factorization of 63 = 3 x 3 x 7 It can be seen that 3 x 3 is the greatest number common in the factorization of 18, 45 and 63. So, GCF is 3 x 3 = 9.
The GCF of 138 and 345 is 69
The greatest common factor for {115, 230, 345} is 115. Note that 115 x 2 = 230, and 115 x 3 = 345.
The GCF is 115.
The common factors of 3 and 345 are 1 and 3. 3 is the GCF.
There is neither a greatest common factor nor common factors of a single number, such as 345, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor.
The GCF is 15.
The GCF is 25.
The greatest common factor of 165 and 345 is 15.
345
It is 69.
1, 3, 5, 15
Expressing each number as the product of their prime factors is one of the methods of finding greatest common factor.115 = 5 x 23225 = 3 x 3 x 5 x 5As it can be seen only one 5 is common so GCF is 1.Another method which can be employed is long division method.Long division method is based on Euclid's Division Lemma.Lemma is: For two integers a and b(a>b; b ≠ 0) there exist two integers q and r such that a = bq+ rApplying the theorem to 225 and 115 we get.Step I225 = 115 x 1 + 110Now the remainder and divisor in step I becomes divisor and dividend for step II.Step II115 = 110 x 1 + 5Step III110 = 5 x 22 + 0When the remainder is 0 then the last divisor is the required GCF, which in this case is 5.The main reason for taking remainder and divisor for next step as divisor and dividend is that factors common between 225 and 115 are also common between 110(r) and 115(q).