What is the Greatest Common Factor of 68640 and 68658?

Greatest common factor (GCF) of 68640 and 68658 is 6.

GCF(68640,68658) = 6

We will now calculate the prime factors of 68640 and 68658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68640 and 68658.

How to find the GCF of 68640 and 68658?

We will first find the prime factorization of 68640 and 68658. After we will calculate the factors of 68640 and 68658 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 68658

Prime factors of 68658 are 2, 3, 11443. Prime factorization of 68658 in exponential form is:

68658 = 2¹ × 3¹ × 11443¹

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 68658

List of positive integer factors of 68658 that divides 68640 without a remainder.

1, 2, 3, 6, 11443, 22886, 34329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68640 and 68658. The biggest common factor number is the GCF number.
So the greatest common factor 68640 and 68658 is 6.

Also check out the Least Common Multiple of 68640 and 68658