What is the Greatest Common Factor of 63798 and 63813?

Greatest common factor (GCF) of 63798 and 63813 is 3.

GCF(63798,63813) = 3

We will now calculate the prime factors of 63798 and 63813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63798 and 63813.

How to find the GCF of 63798 and 63813?

We will first find the prime factorization of 63798 and 63813. After we will calculate the factors of 63798 and 63813 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 63813

Prime factors of 63813 are 3, 89, 239. Prime factorization of 63813 in exponential form is:

63813 = 3¹ × 89¹ × 239¹

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 63813

List of positive integer factors of 63813 that divides 63798 without a remainder.

1, 3, 89, 239, 267, 717, 21271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63798 and 63813. The biggest common factor number is the GCF number.
So the greatest common factor 63798 and 63813 is 3.

Also check out the Least Common Multiple of 63798 and 63813