What is the Greatest Common Factor of 66360 and 66367?

Greatest common factor (GCF) of 66360 and 66367 is 7.

GCF(66360,66367) = 7

We will now calculate the prime factors of 66360 and 66367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66360 and 66367.

How to find the GCF of 66360 and 66367?

We will first find the prime factorization of 66360 and 66367. After we will calculate the factors of 66360 and 66367 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 66367

Prime factors of 66367 are 7, 19, 499. Prime factorization of 66367 in exponential form is:

66367 = 7¹ × 19¹ × 499¹

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 66367

List of positive integer factors of 66367 that divides 66360 without a remainder.

1, 7, 19, 133, 499, 3493, 9481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66360 and 66367. The biggest common factor number is the GCF number.
So the greatest common factor 66360 and 66367 is 7.

Also check out the Least Common Multiple of 66360 and 66367