What is the Greatest Common Factor of 42360 and 42375?

Greatest common factor (GCF) of 42360 and 42375 is 15.

GCF(42360,42375) = 15

We will now calculate the prime factors of 42360 and 42375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42360 and 42375.

How to find the GCF of 42360 and 42375?

We will first find the prime factorization of 42360 and 42375. After we will calculate the factors of 42360 and 42375 and find the biggest common factor number .

Step-1: Prime Factorization of 42360

Prime factors of 42360 are 2, 3, 5, 353. Prime factorization of 42360 in exponential form is:

42360 = 2³ × 3¹ × 5¹ × 353¹

Step-2: Prime Factorization of 42375

Prime factors of 42375 are 3, 5, 113. Prime factorization of 42375 in exponential form is:

42375 = 3¹ × 5³ × 113¹

Step-3: Factors of 42360

List of positive integer factors of 42360 that divides 42360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 353, 706, 1059, 1412, 1765, 2118, 2824, 3530, 4236, 5295, 7060, 8472, 10590, 14120, 21180

Step-4: Factors of 42375

List of positive integer factors of 42375 that divides 42360 without a remainder.

1, 3, 5, 15, 25, 75, 113, 125, 339, 375, 565, 1695, 2825, 8475, 14125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42360 and 42375. The biggest common factor number is the GCF number.
So the greatest common factor 42360 and 42375 is 15.

Also check out the Least Common Multiple of 42360 and 42375