What is the Greatest Common Factor of 64680 and 64690?

Greatest common factor (GCF) of 64680 and 64690 is 10.

GCF(64680,64690) = 10

We will now calculate the prime factors of 64680 and 64690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64680 and 64690.

How to find the GCF of 64680 and 64690?

We will first find the prime factorization of 64680 and 64690. After we will calculate the factors of 64680 and 64690 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 64690

Prime factors of 64690 are 2, 5, 6469. Prime factorization of 64690 in exponential form is:

64690 = 2¹ × 5¹ × 6469¹

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 64690

List of positive integer factors of 64690 that divides 64680 without a remainder.

1, 2, 5, 10, 6469, 12938, 32345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64680 and 64690. The biggest common factor number is the GCF number.
So the greatest common factor 64680 and 64690 is 10.

Also check out the Least Common Multiple of 64680 and 64690