What is the Greatest Common Factor of 66360 and 66374?

Greatest common factor (GCF) of 66360 and 66374 is 14.

GCF(66360,66374) = 14

We will now calculate the prime factors of 66360 and 66374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66360 and 66374.

How to find the GCF of 66360 and 66374?

We will first find the prime factorization of 66360 and 66374. After we will calculate the factors of 66360 and 66374 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 66374

Prime factors of 66374 are 2, 7, 11, 431. Prime factorization of 66374 in exponential form is:

66374 = 2¹ × 7¹ × 11¹ × 431¹

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 66374

List of positive integer factors of 66374 that divides 66360 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 431, 862, 3017, 4741, 6034, 9482, 33187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66360 and 66374. The biggest common factor number is the GCF number.
So the greatest common factor 66360 and 66374 is 14.

Also check out the Least Common Multiple of 66360 and 66374