What is the Greatest Common Factor of 68640 and 68660?

Greatest common factor (GCF) of 68640 and 68660 is 20.

GCF(68640,68660) = 20

We will now calculate the prime factors of 68640 and 68660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68640 and 68660.

How to find the GCF of 68640 and 68660?

We will first find the prime factorization of 68640 and 68660. After we will calculate the factors of 68640 and 68660 and find the biggest common factor number .

Step-1: Prime Factorization of 68640

Prime factors of 68640 are 2, 3, 5, 11, 13. Prime factorization of 68640 in exponential form is:

68640 = 2⁵ × 3¹ × 5¹ × 11¹ × 13¹

Step-2: Prime Factorization of 68660

Prime factors of 68660 are 2, 5, 3433. Prime factorization of 68660 in exponential form is:

68660 = 2² × 5¹ × 3433¹

Step-3: Factors of 68640

List of positive integer factors of 68640 that divides 68640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 13, 15, 16, 20, 22, 24, 26, 30, 32, 33, 39, 40, 44, 48, 52, 55, 60, 65, 66, 78, 80, 88, 96, 104, 110, 120, 130, 132, 143, 156, 160, 165, 176, 195, 208, 220, 240, 260, 264, 286, 312, 330, 352, 390, 416, 429, 440, 480, 520, 528, 572, 624, 660, 715, 780, 858, 880, 1040, 1056, 1144, 1248, 1320, 1430, 1560, 1716, 1760, 2080, 2145, 2288, 2640, 2860, 3120, 3432, 4290, 4576, 5280, 5720, 6240, 6864, 8580, 11440, 13728, 17160, 22880, 34320

Step-4: Factors of 68660

List of positive integer factors of 68660 that divides 68640 without a remainder.

1, 2, 4, 5, 10, 20, 3433, 6866, 13732, 17165, 34330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68640 and 68660. The biggest common factor number is the GCF number.
So the greatest common factor 68640 and 68660 is 20.

Also check out the Least Common Multiple of 68640 and 68660