What is the Greatest Common Factor of 63756 and 63768?

Greatest common factor (GCF) of 63756 and 63768 is 12.

GCF(63756,63768) = 12

We will now calculate the prime factors of 63756 and 63768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63756 and 63768.

How to find the GCF of 63756 and 63768?

We will first find the prime factorization of 63756 and 63768. After we will calculate the factors of 63756 and 63768 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63768

Prime factors of 63768 are 2, 3, 2657. Prime factorization of 63768 in exponential form is:

63768 = 2³ × 3¹ × 2657¹

Step-3: Factors of 63756

List of positive integer factors of 63756 that divides 63756 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

Step-4: Factors of 63768

List of positive integer factors of 63768 that divides 63756 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2657, 5314, 7971, 10628, 15942, 21256, 31884

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63756 and 63768. The biggest common factor number is the GCF number.
So the greatest common factor 63756 and 63768 is 12.

Also check out the Least Common Multiple of 63756 and 63768