What is the Greatest Common Factor of 64097 and 64108?

Greatest common factor (GCF) of 64097 and 64108 is 11.

GCF(64097,64108) = 11

We will now calculate the prime factors of 64097 and 64108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64097 and 64108.

How to find the GCF of 64097 and 64108?

We will first find the prime factorization of 64097 and 64108. After we will calculate the factors of 64097 and 64108 and find the biggest common factor number .

Step-1: Prime Factorization of 64097

Prime factors of 64097 are 11, 5827. Prime factorization of 64097 in exponential form is:

64097 = 11¹ × 5827¹

Step-2: Prime Factorization of 64108

Prime factors of 64108 are 2, 11, 31, 47. Prime factorization of 64108 in exponential form is:

64108 = 2² × 11¹ × 31¹ × 47¹

Step-3: Factors of 64097

List of positive integer factors of 64097 that divides 64097 without a remainder.

1, 11, 5827

Step-4: Factors of 64108

List of positive integer factors of 64108 that divides 64097 without a remainder.

1, 2, 4, 11, 22, 31, 44, 47, 62, 94, 124, 188, 341, 517, 682, 1034, 1364, 1457, 2068, 2914, 5828, 16027, 32054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64097 and 64108. The biggest common factor number is the GCF number.
So the greatest common factor 64097 and 64108 is 11.

Also check out the Least Common Multiple of 64097 and 64108