What is the Greatest Common Factor of 70508 and 70513?

Greatest common factor (GCF) of 70508 and 70513 is 1.

GCF(70508,70513) = 1

We will now calculate the prime factors of 70508 and 70513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70508 and 70513.

How to find the GCF of 70508 and 70513?

We will first find the prime factorization of 70508 and 70513. After we will calculate the factors of 70508 and 70513 and find the biggest common factor number .

Step-1: Prime Factorization of 70508

Prime factors of 70508 are 2, 17627. Prime factorization of 70508 in exponential form is:

70508 = 2² × 17627¹

Step-2: Prime Factorization of 70513

Prime factors of 70513 are 107, 659. Prime factorization of 70513 in exponential form is:

70513 = 107¹ × 659¹

Step-3: Factors of 70508

List of positive integer factors of 70508 that divides 70508 without a remainder.

1, 2, 4, 17627, 35254

Step-4: Factors of 70513

List of positive integer factors of 70513 that divides 70508 without a remainder.

1, 107, 659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70508 and 70513. The biggest common factor number is the GCF number.
So the greatest common factor 70508 and 70513 is 1.

Also check out the Least Common Multiple of 70508 and 70513