What is the Greatest Common Factor of 59664 and 59670?

Greatest common factor (GCF) of 59664 and 59670 is 6.

GCF(59664,59670) = 6

We will now calculate the prime factors of 59664 and 59670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59664 and 59670.

How to find the GCF of 59664 and 59670?

We will first find the prime factorization of 59664 and 59670. After we will calculate the factors of 59664 and 59670 and find the biggest common factor number .

Step-1: Prime Factorization of 59664

Prime factors of 59664 are 2, 3, 11, 113. Prime factorization of 59664 in exponential form is:

59664 = 2⁴ × 3¹ × 11¹ × 113¹

Step-2: Prime Factorization of 59670

Prime factors of 59670 are 2, 3, 5, 13, 17. Prime factorization of 59670 in exponential form is:

59670 = 2¹ × 3³ × 5¹ × 13¹ × 17¹

Step-3: Factors of 59664

List of positive integer factors of 59664 that divides 59664 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 113, 132, 176, 226, 264, 339, 452, 528, 678, 904, 1243, 1356, 1808, 2486, 2712, 3729, 4972, 5424, 7458, 9944, 14916, 19888, 29832

Step-4: Factors of 59670

List of positive integer factors of 59670 that divides 59664 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 17, 18, 26, 27, 30, 34, 39, 45, 51, 54, 65, 78, 85, 90, 102, 117, 130, 135, 153, 170, 195, 221, 234, 255, 270, 306, 351, 390, 442, 459, 510, 585, 663, 702, 765, 918, 1105, 1170, 1326, 1530, 1755, 1989, 2210, 2295, 3315, 3510, 3978, 4590, 5967, 6630, 9945, 11934, 19890, 29835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59664 and 59670. The biggest common factor number is the GCF number.
So the greatest common factor 59664 and 59670 is 6.

Also check out the Least Common Multiple of 59664 and 59670