What is the Greatest Common Factor of 63714 and 63728?

Greatest common factor (GCF) of 63714 and 63728 is 14.

GCF(63714,63728) = 14

We will now calculate the prime factors of 63714 and 63728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63714 and 63728.

How to find the GCF of 63714 and 63728?

We will first find the prime factorization of 63714 and 63728. After we will calculate the factors of 63714 and 63728 and find the biggest common factor number .

Step-1: Prime Factorization of 63714

Prime factors of 63714 are 2, 3, 7, 37, 41. Prime factorization of 63714 in exponential form is:

63714 = 2¹ × 3¹ × 7¹ × 37¹ × 41¹

Step-2: Prime Factorization of 63728

Prime factors of 63728 are 2, 7, 569. Prime factorization of 63728 in exponential form is:

63728 = 2⁴ × 7¹ × 569¹

Step-3: Factors of 63714

List of positive integer factors of 63714 that divides 63714 without a remainder.

1, 2, 3, 6, 7, 14, 21, 37, 41, 42, 74, 82, 111, 123, 222, 246, 259, 287, 518, 574, 777, 861, 1517, 1554, 1722, 3034, 4551, 9102, 10619, 21238, 31857

Step-4: Factors of 63728

List of positive integer factors of 63728 that divides 63714 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 569, 1138, 2276, 3983, 4552, 7966, 9104, 15932, 31864

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63714 and 63728. The biggest common factor number is the GCF number.
So the greatest common factor 63714 and 63728 is 14.

Also check out the Least Common Multiple of 63714 and 63728