What is the Greatest Common Factor of 64674 and 64680?

Greatest common factor (GCF) of 64674 and 64680 is 6.

GCF(64674,64680) = 6

We will now calculate the prime factors of 64674 and 64680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64674 and 64680.

How to find the GCF of 64674 and 64680?

We will first find the prime factorization of 64674 and 64680. After we will calculate the factors of 64674 and 64680 and find the biggest common factor number .

Step-1: Prime Factorization of 64674

Prime factors of 64674 are 2, 3, 3593. Prime factorization of 64674 in exponential form is:

64674 = 2¹ × 3² × 3593¹

Step-2: Prime Factorization of 64680

Prime factors of 64680 are 2, 3, 5, 7, 11. Prime factorization of 64680 in exponential form is:

64680 = 2³ × 3¹ × 5¹ × 7² × 11¹

Step-3: Factors of 64674

List of positive integer factors of 64674 that divides 64674 without a remainder.

1, 2, 3, 6, 9, 18, 3593, 7186, 10779, 21558, 32337

Step-4: Factors of 64680

List of positive integer factors of 64680 that divides 64674 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 20, 21, 22, 24, 28, 30, 33, 35, 40, 42, 44, 49, 55, 56, 60, 66, 70, 77, 84, 88, 98, 105, 110, 120, 132, 140, 147, 154, 165, 168, 196, 210, 220, 231, 245, 264, 280, 294, 308, 330, 385, 392, 420, 440, 462, 490, 539, 588, 616, 660, 735, 770, 840, 924, 980, 1078, 1155, 1176, 1320, 1470, 1540, 1617, 1848, 1960, 2156, 2310, 2695, 2940, 3080, 3234, 4312, 4620, 5390, 5880, 6468, 8085, 9240, 10780, 12936, 16170, 21560, 32340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64674 and 64680. The biggest common factor number is the GCF number.
So the greatest common factor 64674 and 64680 is 6.

Also check out the Least Common Multiple of 64674 and 64680