What is the Greatest Common Factor of 63748 and 63756?

Greatest common factor (GCF) of 63748 and 63756 is 4.

GCF(63748,63756) = 4

We will now calculate the prime factors of 63748 and 63756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63748 and 63756.

How to find the GCF of 63748 and 63756?

We will first find the prime factorization of 63748 and 63756. After we will calculate the factors of 63748 and 63756 and find the biggest common factor number .

Step-1: Prime Factorization of 63748

Prime factors of 63748 are 2, 15937. Prime factorization of 63748 in exponential form is:

63748 = 2² × 15937¹

Step-2: Prime Factorization of 63756

Prime factors of 63756 are 2, 3, 7, 11, 23. Prime factorization of 63756 in exponential form is:

63756 = 2² × 3² × 7¹ × 11¹ × 23¹

Step-3: Factors of 63748

List of positive integer factors of 63748 that divides 63748 without a remainder.

1, 2, 4, 15937, 31874

Step-4: Factors of 63756

List of positive integer factors of 63756 that divides 63748 without a remainder.

1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 23, 28, 33, 36, 42, 44, 46, 63, 66, 69, 77, 84, 92, 99, 126, 132, 138, 154, 161, 198, 207, 231, 252, 253, 276, 308, 322, 396, 414, 462, 483, 506, 644, 693, 759, 828, 924, 966, 1012, 1386, 1449, 1518, 1771, 1932, 2277, 2772, 2898, 3036, 3542, 4554, 5313, 5796, 7084, 9108, 10626, 15939, 21252, 31878

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63748 and 63756. The biggest common factor number is the GCF number.
So the greatest common factor 63748 and 63756 is 4.

Also check out the Least Common Multiple of 63748 and 63756