What is the Greatest Common Factor of 63798 and 63812?

Greatest common factor (GCF) of 63798 and 63812 is 14.

GCF(63798,63812) = 14

We will now calculate the prime factors of 63798 and 63812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63798 and 63812.

How to find the GCF of 63798 and 63812?

We will first find the prime factorization of 63798 and 63812. After we will calculate the factors of 63798 and 63812 and find the biggest common factor number .

Step-1: Prime Factorization of 63798

Prime factors of 63798 are 2, 3, 7, 31. Prime factorization of 63798 in exponential form is:

63798 = 2¹ × 3¹ × 7³ × 31¹

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 63798

List of positive integer factors of 63798 that divides 63798 without a remainder.

1, 2, 3, 6, 7, 14, 21, 31, 42, 49, 62, 93, 98, 147, 186, 217, 294, 343, 434, 651, 686, 1029, 1302, 1519, 2058, 3038, 4557, 9114, 10633, 21266, 31899

Step-4: Factors of 63812

List of positive integer factors of 63812 that divides 63798 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 63798 and 63812. The biggest common factor number is the GCF number.
So the greatest common factor 63798 and 63812 is 14.

Also check out the Least Common Multiple of 63798 and 63812