What is the Greatest Common Factor of 63756 and 63762?

Greatest common factor (GCF) of 63756 and 63762 is 6.

GCF(63756,63762) = 6

We will now calculate the prime factors of 63756 and 63762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63756 and 63762.

How to find the GCF of 63756 and 63762?

We will first find the prime factorization of 63756 and 63762. After we will calculate the factors of 63756 and 63762 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 63762

Prime factors of 63762 are 2, 3, 10627. Prime factorization of 63762 in exponential form is:

63762 = 2¹ × 3¹ × 10627¹

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 63762

List of positive integer factors of 63762 that divides 63756 without a remainder.

1, 2, 3, 6, 10627, 21254, 31881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63756 and 63762. The biggest common factor number is the GCF number.
So the greatest common factor 63756 and 63762 is 6.

Also check out the Least Common Multiple of 63756 and 63762