What is the Greatest Common Factor of 66342 and 66360?

Greatest common factor (GCF) of 66342 and 66360 is 6.

GCF(66342,66360) = 6

We will now calculate the prime factors of 66342 and 66360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66342 and 66360.

How to find the GCF of 66342 and 66360?

We will first find the prime factorization of 66342 and 66360. After we will calculate the factors of 66342 and 66360 and find the biggest common factor number .

Step-1: Prime Factorization of 66342

Prime factors of 66342 are 2, 3, 11057. Prime factorization of 66342 in exponential form is:

66342 = 2¹ × 3¹ × 11057¹

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 66342

List of positive integer factors of 66342 that divides 66342 without a remainder.

1, 2, 3, 6, 11057, 22114, 33171

Step-4: Factors of 66360

List of positive integer factors of 66360 that divides 66342 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 66342 and 66360. The biggest common factor number is the GCF number.
So the greatest common factor 66342 and 66360 is 6.

Also check out the Least Common Multiple of 66342 and 66360