What is the Greatest Common Factor of 70304 and 70309?

Greatest common factor (GCF) of 70304 and 70309 is 1.

GCF(70304,70309) = 1

We will now calculate the prime factors of 70304 and 70309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70304 and 70309.

How to find the GCF of 70304 and 70309?

We will first find the prime factorization of 70304 and 70309. After we will calculate the factors of 70304 and 70309 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 70309

Prime factors of 70309 are 70309. Prime factorization of 70309 in exponential form is:

70309 = 70309¹

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 70309

List of positive integer factors of 70309 that divides 70304 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70304 and 70309. The biggest common factor number is the GCF number.
So the greatest common factor 70304 and 70309 is 1.

Also check out the Least Common Multiple of 70304 and 70309