What is the Greatest Common Factor of 64988 and 65002?

Greatest common factor (GCF) of 64988 and 65002 is 14.

GCF(64988,65002) = 14

We will now calculate the prime factors of 64988 and 65002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64988 and 65002.

How to find the GCF of 64988 and 65002?

We will first find the prime factorization of 64988 and 65002. After we will calculate the factors of 64988 and 65002 and find the biggest common factor number .

Step-1: Prime Factorization of 64988

Prime factors of 64988 are 2, 7, 11, 211. Prime factorization of 64988 in exponential form is:

64988 = 2² × 7¹ × 11¹ × 211¹

Step-2: Prime Factorization of 65002

Prime factors of 65002 are 2, 7, 4643. Prime factorization of 65002 in exponential form is:

65002 = 2¹ × 7¹ × 4643¹

Step-3: Factors of 64988

List of positive integer factors of 64988 that divides 64988 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 211, 308, 422, 844, 1477, 2321, 2954, 4642, 5908, 9284, 16247, 32494

Step-4: Factors of 65002

List of positive integer factors of 65002 that divides 64988 without a remainder.

1, 2, 7, 14, 4643, 9286, 32501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64988 and 65002. The biggest common factor number is the GCF number.
So the greatest common factor 64988 and 65002 is 14.

Also check out the Least Common Multiple of 64988 and 65002