What is the Greatest Common Factor of 68640 and 68657?

Greatest common factor (GCF) of 68640 and 68657 is 1.

GCF(68640,68657) = 1

We will now calculate the prime factors of 68640 and 68657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68640 and 68657.

How to find the GCF of 68640 and 68657?

We will first find the prime factorization of 68640 and 68657. After we will calculate the factors of 68640 and 68657 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 68657

Prime factors of 68657 are 71, 967. Prime factorization of 68657 in exponential form is:

68657 = 71¹ × 967¹

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 68657

List of positive integer factors of 68657 that divides 68640 without a remainder.

1, 71, 967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68640 and 68657. The biggest common factor number is the GCF number.
So the greatest common factor 68640 and 68657 is 1.

Also check out the Least Common Multiple of 68640 and 68657