What is the Greatest Common Factor of 64207 and 64220?

Greatest common factor (GCF) of 64207 and 64220 is 13.

GCF(64207,64220) = 13

We will now calculate the prime factors of 64207 and 64220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64207 and 64220.

How to find the GCF of 64207 and 64220?

We will first find the prime factorization of 64207 and 64220. After we will calculate the factors of 64207 and 64220 and find the biggest common factor number .

Step-1: Prime Factorization of 64207

Prime factors of 64207 are 11, 13, 449. Prime factorization of 64207 in exponential form is:

64207 = 11¹ × 13¹ × 449¹

Step-2: Prime Factorization of 64220

Prime factors of 64220 are 2, 5, 13, 19. Prime factorization of 64220 in exponential form is:

64220 = 2² × 5¹ × 13² × 19¹

Step-3: Factors of 64207

List of positive integer factors of 64207 that divides 64207 without a remainder.

1, 11, 13, 143, 449, 4939, 5837

Step-4: Factors of 64220

List of positive integer factors of 64220 that divides 64207 without a remainder.

1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 169, 190, 247, 260, 338, 380, 494, 676, 845, 988, 1235, 1690, 2470, 3211, 3380, 4940, 6422, 12844, 16055, 32110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64207 and 64220. The biggest common factor number is the GCF number.
So the greatest common factor 64207 and 64220 is 13.

Also check out the Least Common Multiple of 64207 and 64220