What is the Greatest Common Factor of 68636 and 68640?

Greatest common factor (GCF) of 68636 and 68640 is 4.

GCF(68636,68640) = 4

We will now calculate the prime factors of 68636 and 68640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68636 and 68640.

How to find the GCF of 68636 and 68640?

We will first find the prime factorization of 68636 and 68640. After we will calculate the factors of 68636 and 68640 and find the biggest common factor number .

Step-1: Prime Factorization of 68636

Prime factors of 68636 are 2, 17159. Prime factorization of 68636 in exponential form is:

68636 = 2² × 17159¹

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 68636

List of positive integer factors of 68636 that divides 68636 without a remainder.

1, 2, 4, 17159, 34318

Step-4: Factors of 68640

List of positive integer factors of 68640 that divides 68636 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 68636 and 68640. The biggest common factor number is the GCF number.
So the greatest common factor 68636 and 68640 is 4.

Also check out the Least Common Multiple of 68636 and 68640