What is the Greatest Common Factor of 42375 and 42380?

Greatest common factor (GCF) of 42375 and 42380 is 5.

GCF(42375,42380) = 5

We will now calculate the prime factors of 42375 and 42380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42375 and 42380.

How to find the GCF of 42375 and 42380?

We will first find the prime factorization of 42375 and 42380. After we will calculate the factors of 42375 and 42380 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42380

Prime factors of 42380 are 2, 5, 13, 163. Prime factorization of 42380 in exponential form is:

42380 = 2² × 5¹ × 13¹ × 163¹

Step-3: Factors of 42375

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

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

Step-4: Factors of 42380

List of positive integer factors of 42380 that divides 42375 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 163, 260, 326, 652, 815, 1630, 2119, 3260, 4238, 8476, 10595, 21190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42375 and 42380. The biggest common factor number is the GCF number.
So the greatest common factor 42375 and 42380 is 5.

Also check out the Least Common Multiple of 42375 and 42380