What is the Greatest Common Factor of 63756 and 63767?

Greatest common factor (GCF) of 63756 and 63767 is 11.

GCF(63756,63767) = 11

We will now calculate the prime factors of 63756 and 63767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63756 and 63767.

How to find the GCF of 63756 and 63767?

We will first find the prime factorization of 63756 and 63767. After we will calculate the factors of 63756 and 63767 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 63767

Prime factors of 63767 are 11, 17, 31. Prime factorization of 63767 in exponential form is:

63767 = 11² × 17¹ × 31¹

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 63767

List of positive integer factors of 63767 that divides 63756 without a remainder.

1, 11, 17, 31, 121, 187, 341, 527, 2057, 3751, 5797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63756 and 63767. The biggest common factor number is the GCF number.
So the greatest common factor 63756 and 63767 is 11.

Also check out the Least Common Multiple of 63756 and 63767