What is the Greatest Common Factor of 68635 and 68640?

Greatest common factor (GCF) of 68635 and 68640 is 5.

GCF(68635,68640) = 5

We will now calculate the prime factors of 68635 and 68640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68635 and 68640.

How to find the GCF of 68635 and 68640?

We will first find the prime factorization of 68635 and 68640. After we will calculate the factors of 68635 and 68640 and find the biggest common factor number .

Step-1: Prime Factorization of 68635

Prime factors of 68635 are 5, 7, 37, 53. Prime factorization of 68635 in exponential form is:

68635 = 5¹ × 7¹ × 37¹ × 53¹

Step-2: 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-3: Factors of 68635

List of positive integer factors of 68635 that divides 68635 without a remainder.

1, 5, 7, 35, 37, 53, 185, 259, 265, 371, 1295, 1855, 1961, 9805, 13727

Step-4: Factors of 68640

List of positive integer factors of 68640 that divides 68635 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68635 and 68640. The biggest common factor number is the GCF number.
So the greatest common factor 68635 and 68640 is 5.

Also check out the Least Common Multiple of 68635 and 68640