What is the Greatest Common Factor of 64974 and 64989?

Greatest common factor (GCF) of 64974 and 64989 is 3.

GCF(64974,64989) = 3

We will now calculate the prime factors of 64974 and 64989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64974 and 64989.

How to find the GCF of 64974 and 64989?

We will first find the prime factorization of 64974 and 64989. After we will calculate the factors of 64974 and 64989 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 64989

Prime factors of 64989 are 3, 29, 83. Prime factorization of 64989 in exponential form is:

64989 = 3³ × 29¹ × 83¹

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 64989

List of positive integer factors of 64989 that divides 64974 without a remainder.

1, 3, 9, 27, 29, 83, 87, 249, 261, 747, 783, 2241, 2407, 7221, 21663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64974 and 64989. The biggest common factor number is the GCF number.
So the greatest common factor 64974 and 64989 is 3.

Also check out the Least Common Multiple of 64974 and 64989