What is the Greatest Common Factor of 66360 and 66372?

Greatest common factor (GCF) of 66360 and 66372 is 12.

GCF(66360,66372) = 12

We will now calculate the prime factors of 66360 and 66372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66360 and 66372.

How to find the GCF of 66360 and 66372?

We will first find the prime factorization of 66360 and 66372. After we will calculate the factors of 66360 and 66372 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66372

Prime factors of 66372 are 2, 3, 5531. Prime factorization of 66372 in exponential form is:

66372 = 2² × 3¹ × 5531¹

Step-3: Factors of 66360

List of positive integer factors of 66360 that divides 66360 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

Step-4: Factors of 66372

List of positive integer factors of 66372 that divides 66360 without a remainder.

1, 2, 3, 4, 6, 12, 5531, 11062, 16593, 22124, 33186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66360 and 66372. The biggest common factor number is the GCF number.
So the greatest common factor 66360 and 66372 is 12.

Also check out the Least Common Multiple of 66360 and 66372