What is the Greatest Common Factor of 39075 and 39088?

Greatest common factor (GCF) of 39075 and 39088 is 1.

GCF(39075,39088) = 1

We will now calculate the prime factors of 39075 and 39088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39075 and 39088.

How to find the GCF of 39075 and 39088?

We will first find the prime factorization of 39075 and 39088. After we will calculate the factors of 39075 and 39088 and find the biggest common factor number .

Step-1: Prime Factorization of 39075

Prime factors of 39075 are 3, 5, 521. Prime factorization of 39075 in exponential form is:

39075 = 3¹ × 5² × 521¹

Step-2: Prime Factorization of 39088

Prime factors of 39088 are 2, 7, 349. Prime factorization of 39088 in exponential form is:

39088 = 2⁴ × 7¹ × 349¹

Step-3: Factors of 39075

List of positive integer factors of 39075 that divides 39075 without a remainder.

1, 3, 5, 15, 25, 75, 521, 1563, 2605, 7815, 13025

Step-4: Factors of 39088

List of positive integer factors of 39088 that divides 39075 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 349, 698, 1396, 2443, 2792, 4886, 5584, 9772, 19544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39075 and 39088. The biggest common factor number is the GCF number.
So the greatest common factor 39075 and 39088 is 1.

Also check out the Least Common Multiple of 39075 and 39088