What is the Greatest Common Factor of 63756 and 63771?

Greatest common factor (GCF) of 63756 and 63771 is 3.

GCF(63756,63771) = 3

We will now calculate the prime factors of 63756 and 63771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63756 and 63771.

How to find the GCF of 63756 and 63771?

We will first find the prime factorization of 63756 and 63771. After we will calculate the factors of 63756 and 63771 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 63771

Prime factors of 63771 are 3, 29, 733. Prime factorization of 63771 in exponential form is:

63771 = 3¹ × 29¹ × 733¹

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 63771

List of positive integer factors of 63771 that divides 63756 without a remainder.

1, 3, 29, 87, 733, 2199, 21257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63756 and 63771. The biggest common factor number is the GCF number.
So the greatest common factor 63756 and 63771 is 3.

Also check out the Least Common Multiple of 63756 and 63771