What is the Greatest Common Factor of 70304 and 70324?

Greatest common factor (GCF) of 70304 and 70324 is 4.

GCF(70304,70324) = 4

We will now calculate the prime factors of 70304 and 70324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70304 and 70324.

How to find the GCF of 70304 and 70324?

We will first find the prime factorization of 70304 and 70324. After we will calculate the factors of 70304 and 70324 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 70324

Prime factors of 70324 are 2, 17581. Prime factorization of 70324 in exponential form is:

70324 = 2² × 17581¹

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 70324

List of positive integer factors of 70324 that divides 70304 without a remainder.

1, 2, 4, 17581, 35162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70304 and 70324. The biggest common factor number is the GCF number.
So the greatest common factor 70304 and 70324 is 4.

Also check out the Least Common Multiple of 70304 and 70324