What is the Greatest Common Factor of 63271 and 63284?

Greatest common factor (GCF) of 63271 and 63284 is 13.

GCF(63271,63284) = 13

We will now calculate the prime factors of 63271 and 63284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63271 and 63284.

How to find the GCF of 63271 and 63284?

We will first find the prime factorization of 63271 and 63284. After we will calculate the factors of 63271 and 63284 and find the biggest common factor number .

Step-1: Prime Factorization of 63271

Prime factors of 63271 are 13, 31, 157. Prime factorization of 63271 in exponential form is:

63271 = 13¹ × 31¹ × 157¹

Step-2: Prime Factorization of 63284

Prime factors of 63284 are 2, 13, 1217. Prime factorization of 63284 in exponential form is:

63284 = 2² × 13¹ × 1217¹

Step-3: Factors of 63271

List of positive integer factors of 63271 that divides 63271 without a remainder.

1, 13, 31, 157, 403, 2041, 4867

Step-4: Factors of 63284

List of positive integer factors of 63284 that divides 63271 without a remainder.

1, 2, 4, 13, 26, 52, 1217, 2434, 4868, 15821, 31642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63271 and 63284. The biggest common factor number is the GCF number.
So the greatest common factor 63271 and 63284 is 13.

Also check out the Least Common Multiple of 63271 and 63284