What is the Greatest Common Factor of 66360 and 66375?

Greatest common factor (GCF) of 66360 and 66375 is 15.

GCF(66360,66375) = 15

We will now calculate the prime factors of 66360 and 66375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66360 and 66375.

How to find the GCF of 66360 and 66375?

We will first find the prime factorization of 66360 and 66375. After we will calculate the factors of 66360 and 66375 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 66375

Prime factors of 66375 are 3, 5, 59. Prime factorization of 66375 in exponential form is:

66375 = 3² × 5³ × 59¹

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 66375

List of positive integer factors of 66375 that divides 66360 without a remainder.

1, 3, 5, 9, 15, 25, 45, 59, 75, 125, 177, 225, 295, 375, 531, 885, 1125, 1475, 2655, 4425, 7375, 13275, 22125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66360 and 66375. The biggest common factor number is the GCF number.
So the greatest common factor 66360 and 66375 is 15.

Also check out the Least Common Multiple of 66360 and 66375