What is the Greatest Common Factor of 42660 and 42675?

Greatest common factor (GCF) of 42660 and 42675 is 15.

GCF(42660,42675) = 15

We will now calculate the prime factors of 42660 and 42675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42660 and 42675.

How to find the GCF of 42660 and 42675?

We will first find the prime factorization of 42660 and 42675. After we will calculate the factors of 42660 and 42675 and find the biggest common factor number .

Step-1: Prime Factorization of 42660

Prime factors of 42660 are 2, 3, 5, 79. Prime factorization of 42660 in exponential form is:

42660 = 2² × 3³ × 5¹ × 79¹

Step-2: Prime Factorization of 42675

Prime factors of 42675 are 3, 5, 569. Prime factorization of 42675 in exponential form is:

42675 = 3¹ × 5² × 569¹

Step-3: Factors of 42660

List of positive integer factors of 42660 that divides 42660 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 79, 90, 108, 135, 158, 180, 237, 270, 316, 395, 474, 540, 711, 790, 948, 1185, 1422, 1580, 2133, 2370, 2844, 3555, 4266, 4740, 7110, 8532, 10665, 14220, 21330

Step-4: Factors of 42675

List of positive integer factors of 42675 that divides 42660 without a remainder.

1, 3, 5, 15, 25, 75, 569, 1707, 2845, 8535, 14225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42660 and 42675. The biggest common factor number is the GCF number.
So the greatest common factor 42660 and 42675 is 15.

Also check out the Least Common Multiple of 42660 and 42675