What is the Greatest Common Factor of 70304 and 70314?

Greatest common factor (GCF) of 70304 and 70314 is 2.

GCF(70304,70314) = 2

We will now calculate the prime factors of 70304 and 70314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70304 and 70314.

How to find the GCF of 70304 and 70314?

We will first find the prime factorization of 70304 and 70314. After we will calculate the factors of 70304 and 70314 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 70314

Prime factors of 70314 are 2, 3, 11719. Prime factorization of 70314 in exponential form is:

70314 = 2¹ × 3¹ × 11719¹

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 70314

List of positive integer factors of 70314 that divides 70304 without a remainder.

1, 2, 3, 6, 11719, 23438, 35157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70304 and 70314. The biggest common factor number is the GCF number.
So the greatest common factor 70304 and 70314 is 2.

Also check out the Least Common Multiple of 70304 and 70314