What is the Greatest Common Factor of 66345 and 66360?

Greatest common factor (GCF) of 66345 and 66360 is 15.

GCF(66345,66360) = 15

We will now calculate the prime factors of 66345 and 66360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66345 and 66360.

How to find the GCF of 66345 and 66360?

We will first find the prime factorization of 66345 and 66360. After we will calculate the factors of 66345 and 66360 and find the biggest common factor number .

Step-1: Prime Factorization of 66345

Prime factors of 66345 are 3, 5, 4423. Prime factorization of 66345 in exponential form is:

66345 = 3¹ × 5¹ × 4423¹

Step-2: Prime Factorization of 66360

Prime factors of 66360 are 2, 3, 5, 7, 79. Prime factorization of 66360 in exponential form is:

66360 = 2³ × 3¹ × 5¹ × 7¹ × 79¹

Step-3: Factors of 66345

List of positive integer factors of 66345 that divides 66345 without a remainder.

1, 3, 5, 15, 4423, 13269, 22115

Step-4: Factors of 66360

List of positive integer factors of 66360 that divides 66345 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 79, 84, 105, 120, 140, 158, 168, 210, 237, 280, 316, 395, 420, 474, 553, 632, 790, 840, 948, 1106, 1185, 1580, 1659, 1896, 2212, 2370, 2765, 3160, 3318, 4424, 4740, 5530, 6636, 8295, 9480, 11060, 13272, 16590, 22120, 33180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66345 and 66360. The biggest common factor number is the GCF number.
So the greatest common factor 66345 and 66360 is 15.

Also check out the Least Common Multiple of 66345 and 66360