What is the Greatest Common Factor of 64680 and 64687?

Greatest common factor (GCF) of 64680 and 64687 is 7.

GCF(64680,64687) = 7

We will now calculate the prime factors of 64680 and 64687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64680 and 64687.

How to find the GCF of 64680 and 64687?

We will first find the prime factorization of 64680 and 64687. After we will calculate the factors of 64680 and 64687 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64687

Prime factors of 64687 are 7, 9241. Prime factorization of 64687 in exponential form is:

64687 = 7¹ × 9241¹

Step-3: Factors of 64680

List of positive integer factors of 64680 that divides 64680 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

Step-4: Factors of 64687

List of positive integer factors of 64687 that divides 64680 without a remainder.

1, 7, 9241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64680 and 64687. The biggest common factor number is the GCF number.
So the greatest common factor 64680 and 64687 is 7.

Also check out the Least Common Multiple of 64680 and 64687