What is the Greatest Common Factor of 70304 and 70317?

Greatest common factor (GCF) of 70304 and 70317 is 13.

GCF(70304,70317) = 13

We will now calculate the prime factors of 70304 and 70317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70304 and 70317.

How to find the GCF of 70304 and 70317?

We will first find the prime factorization of 70304 and 70317. After we will calculate the factors of 70304 and 70317 and find the biggest common factor number .

Step-1: Prime Factorization of 70304

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

70304 = 2⁵ × 13³

Step-2: Prime Factorization of 70317

Prime factors of 70317 are 3, 13, 601. Prime factorization of 70317 in exponential form is:

70317 = 3² × 13¹ × 601¹

Step-3: Factors of 70304

List of positive integer factors of 70304 that divides 70304 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

Step-4: Factors of 70317

List of positive integer factors of 70317 that divides 70304 without a remainder.

1, 3, 9, 13, 39, 117, 601, 1803, 5409, 7813, 23439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70304 and 70317. The biggest common factor number is the GCF number.
So the greatest common factor 70304 and 70317 is 13.

Also check out the Least Common Multiple of 70304 and 70317