What is the Greatest Common Factor of 70291 and 70304?

Greatest common factor (GCF) of 70291 and 70304 is 13.

GCF(70291,70304) = 13

We will now calculate the prime factors of 70291 and 70304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70291 and 70304.

How to find the GCF of 70291 and 70304?

We will first find the prime factorization of 70291 and 70304. After we will calculate the factors of 70291 and 70304 and find the biggest common factor number .

Step-1: Prime Factorization of 70291

Prime factors of 70291 are 13, 5407. Prime factorization of 70291 in exponential form is:

70291 = 13¹ × 5407¹

Step-2: Prime Factorization of 70304

Prime factors of 70304 are 2, 13. Prime factorization of 70304 in exponential form is:

70304 = 2⁵ × 13³

Step-3: Factors of 70291

List of positive integer factors of 70291 that divides 70291 without a remainder.

1, 13, 5407

Step-4: Factors of 70304

List of positive integer factors of 70304 that divides 70291 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 169, 208, 338, 416, 676, 1352, 2197, 2704, 4394, 5408, 8788, 17576, 35152

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70291 and 70304. The biggest common factor number is the GCF number.
So the greatest common factor 70291 and 70304 is 13.

Also check out the Least Common Multiple of 70291 and 70304