What is the Greatest Common Factor of 64974 and 64988?

Greatest common factor (GCF) of 64974 and 64988 is 14.

GCF(64974,64988) = 14

We will now calculate the prime factors of 64974 and 64988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64974 and 64988.

How to find the GCF of 64974 and 64988?

We will first find the prime factorization of 64974 and 64988. After we will calculate the factors of 64974 and 64988 and find the biggest common factor number .

Step-1: Prime Factorization of 64974

Prime factors of 64974 are 2, 3, 7, 13, 17. Prime factorization of 64974 in exponential form is:

64974 = 2¹ × 3¹ × 7² × 13¹ × 17¹

Step-2: 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-3: Factors of 64974

List of positive integer factors of 64974 that divides 64974 without a remainder.

1, 2, 3, 6, 7, 13, 14, 17, 21, 26, 34, 39, 42, 49, 51, 78, 91, 98, 102, 119, 147, 182, 221, 238, 273, 294, 357, 442, 546, 637, 663, 714, 833, 1274, 1326, 1547, 1666, 1911, 2499, 3094, 3822, 4641, 4998, 9282, 10829, 21658, 32487

Step-4: Factors of 64988

List of positive integer factors of 64988 that divides 64974 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64974 and 64988. The biggest common factor number is the GCF number.
So the greatest common factor 64974 and 64988 is 14.

Also check out the Least Common Multiple of 64974 and 64988