What is the Greatest Common Factor of 63792 and 63812?

Greatest common factor (GCF) of 63792 and 63812 is 4.

GCF(63792,63812) = 4

We will now calculate the prime factors of 63792 and 63812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63792 and 63812.

How to find the GCF of 63792 and 63812?

We will first find the prime factorization of 63792 and 63812. After we will calculate the factors of 63792 and 63812 and find the biggest common factor number .

Step-1: Prime Factorization of 63792

Prime factors of 63792 are 2, 3, 443. Prime factorization of 63792 in exponential form is:

63792 = 2⁴ × 3² × 443¹

Step-2: Prime Factorization of 63812

Prime factors of 63812 are 2, 7, 43, 53. Prime factorization of 63812 in exponential form is:

63812 = 2² × 7¹ × 43¹ × 53¹

Step-3: Factors of 63792

List of positive integer factors of 63792 that divides 63792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 443, 886, 1329, 1772, 2658, 3544, 3987, 5316, 7088, 7974, 10632, 15948, 21264, 31896

Step-4: Factors of 63812

List of positive integer factors of 63812 that divides 63792 without a remainder.

1, 2, 4, 7, 14, 28, 43, 53, 86, 106, 172, 212, 301, 371, 602, 742, 1204, 1484, 2279, 4558, 9116, 15953, 31906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63792 and 63812. The biggest common factor number is the GCF number.
So the greatest common factor 63792 and 63812 is 4.

Also check out the Least Common Multiple of 63792 and 63812