What is the Greatest Common Factor of 64974 and 64978?

Greatest common factor (GCF) of 64974 and 64978 is 2.

GCF(64974,64978) = 2

We will now calculate the prime factors of 64974 and 64978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64974 and 64978.

How to find the GCF of 64974 and 64978?

We will first find the prime factorization of 64974 and 64978. After we will calculate the factors of 64974 and 64978 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 64978

Prime factors of 64978 are 2, 53, 613. Prime factorization of 64978 in exponential form is:

64978 = 2¹ × 53¹ × 613¹

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 64978

List of positive integer factors of 64978 that divides 64974 without a remainder.

1, 2, 53, 106, 613, 1226, 32489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64974 and 64978. The biggest common factor number is the GCF number.
So the greatest common factor 64974 and 64978 is 2.

Also check out the Least Common Multiple of 64974 and 64978