What is the Greatest Common Factor of 63812 and 63828?

Greatest common factor (GCF) of 63812 and 63828 is 4.

GCF(63812,63828) = 4

We will now calculate the prime factors of 63812 and 63828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63812 and 63828.

How to find the GCF of 63812 and 63828?

We will first find the prime factorization of 63812 and 63828. After we will calculate the factors of 63812 and 63828 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63828

Prime factors of 63828 are 2, 3, 197. Prime factorization of 63828 in exponential form is:

63828 = 2² × 3⁴ × 197¹

Step-3: Factors of 63812

List of positive integer factors of 63812 that divides 63812 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

Step-4: Factors of 63828

List of positive integer factors of 63828 that divides 63812 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 197, 324, 394, 591, 788, 1182, 1773, 2364, 3546, 5319, 7092, 10638, 15957, 21276, 31914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63812 and 63828. The biggest common factor number is the GCF number.
So the greatest common factor 63812 and 63828 is 4.

Also check out the Least Common Multiple of 63812 and 63828