What is the Greatest Common Factor of 39598 and 39613?

Greatest common factor (GCF) of 39598 and 39613 is 1.

GCF(39598,39613) = 1

We will now calculate the prime factors of 39598 and 39613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39598 and 39613.

How to find the GCF of 39598 and 39613?

We will first find the prime factorization of 39598 and 39613. After we will calculate the factors of 39598 and 39613 and find the biggest common factor number .

Step-1: Prime Factorization of 39598

Prime factors of 39598 are 2, 13, 1523. Prime factorization of 39598 in exponential form is:

39598 = 2¹ × 13¹ × 1523¹

Step-2: Prime Factorization of 39613

Prime factors of 39613 are 7, 5659. Prime factorization of 39613 in exponential form is:

39613 = 7¹ × 5659¹

Step-3: Factors of 39598

List of positive integer factors of 39598 that divides 39598 without a remainder.

1, 2, 13, 26, 1523, 3046, 19799

Step-4: Factors of 39613

List of positive integer factors of 39613 that divides 39598 without a remainder.

1, 7, 5659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39598 and 39613. The biggest common factor number is the GCF number.
So the greatest common factor 39598 and 39613 is 1.

Also check out the Least Common Multiple of 39598 and 39613