What is the Greatest Common Factor of 39590 and 39595?

Greatest common factor (GCF) of 39590 and 39595 is 5.

GCF(39590,39595) = 5

We will now calculate the prime factors of 39590 and 39595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39590 and 39595.

How to find the GCF of 39590 and 39595?

We will first find the prime factorization of 39590 and 39595. After we will calculate the factors of 39590 and 39595 and find the biggest common factor number .

Step-1: Prime Factorization of 39590

Prime factors of 39590 are 2, 5, 37, 107. Prime factorization of 39590 in exponential form is:

39590 = 2¹ × 5¹ × 37¹ × 107¹

Step-2: Prime Factorization of 39595

Prime factors of 39595 are 5, 7919. Prime factorization of 39595 in exponential form is:

39595 = 5¹ × 7919¹

Step-3: Factors of 39590

List of positive integer factors of 39590 that divides 39590 without a remainder.

1, 2, 5, 10, 37, 74, 107, 185, 214, 370, 535, 1070, 3959, 7918, 19795

Step-4: Factors of 39595

List of positive integer factors of 39595 that divides 39590 without a remainder.

1, 5, 7919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39590 and 39595. The biggest common factor number is the GCF number.
So the greatest common factor 39590 and 39595 is 5.

Also check out the Least Common Multiple of 39590 and 39595