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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 35 and 210 is 35
There are two popular methods to answer greatest common factor questions. The traditial method has to do with listing all the factors of each number. This can take a long time and become very tasking.
The method I will show you for this problem is using the prime factors each number has in common.
Steps:
1. First use a tree diagram to find the prime factorization of each number.
Prime factorization for 35: 5*7
Prime factorization for 225: 3*3*5*5
2. Find the prime factors that each number has in common. For this problem they only have on pair of prime factors which is 5. Since there is only one pair, 5 is the GCF (greatest common factor).
3. In other situations where there are more than one pair of prime factors, multiply them together. For example, the pairs of common prime factors from 225 and 750 are 3, 5, and 5. So the GCF of 225 and 750 will be 75 as a result of multiplying 3*5*5.
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What is the GcF of 21 and35?
21 and 35's highest common factor is seven.
What is the greatest common factor of 21 35 and 14?
The greatest common factor (GCF) is: 7.7
What is the common factor of 21 35 49?
The greatest common factor of 7, 35 and 49 is 7.
What is the highest common factor of 35 84 91?
The GCF is 7.
Highest common factor of 35 and 45?
The GCF is 5.
What is the highest common factor of 21 35 and 56?
The GCF is 7.
What is the highest common factor of 100 35 and 21?
The GCF is 1.
What is the GcF of 21 and35?
21 and 35's highest common factor is seven.
What is the highest common factor of 10 and 35?
The highest common factor (also called greatest common factor) of 10 and 35 is 5.
What is the highest common factor for 70 and 105?
The highest common factor is 35.
What is the highest common factor of 14 and 35?
7The highest common factor is 7
What is the highest common factor of 35 49 and 91?
The highest common factor (HCF) of 35, 49, and 91 can be found by identifying the prime factors of each number. The prime factors of 35 are 5 and 7, of 49 are 7 and 7, and of 91 are 7 and 13. To find the HCF, we identify the common prime factors among the numbers, which in this case is 7. Therefore, the HCF of 35, 49, and 91 is 7.
What are the factors of 14 21 35 and 42?
The highest common factor of all four numbers is 7
What is the highest common factor of 28 and 35 and 70?
The highest common factor (HCF) is 7.
What is the highest common factor of 25 35?
The greatest common factor of the numbers 25 and 35 is 5.
What it the greatest common factor of 35 and 40?
The GCF is 5.
What is the lowest common factor of 5 and 35?
The lowest common factor of any two numbers is 1. The highest common factor of 5 and 35 is 5; The Lowest common multiple of 5 and 35 is 35.
