What is the Greatest Common Factor of 63732 and 63747?

Greatest common factor (GCF) of 63732 and 63747 is 3.

GCF(63732,63747) = 3

We will now calculate the prime factors of 63732 and 63747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63732 and 63747.

How to find the GCF of 63732 and 63747?

We will first find the prime factorization of 63732 and 63747. After we will calculate the factors of 63732 and 63747 and find the biggest common factor number .

Step-1: Prime Factorization of 63732

Prime factors of 63732 are 2, 3, 47, 113. Prime factorization of 63732 in exponential form is:

63732 = 2² × 3¹ × 47¹ × 113¹

Step-2: Prime Factorization of 63747

Prime factors of 63747 are 3, 787. Prime factorization of 63747 in exponential form is:

63747 = 3⁴ × 787¹

Step-3: Factors of 63732

List of positive integer factors of 63732 that divides 63732 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 113, 141, 188, 226, 282, 339, 452, 564, 678, 1356, 5311, 10622, 15933, 21244, 31866

Step-4: Factors of 63747

List of positive integer factors of 63747 that divides 63732 without a remainder.

1, 3, 9, 27, 81, 787, 2361, 7083, 21249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63732 and 63747. The biggest common factor number is the GCF number.
So the greatest common factor 63732 and 63747 is 3.

Also check out the Least Common Multiple of 63732 and 63747