What is the Greatest Common Factor of 70286 and 70304?

Greatest common factor (GCF) of 70286 and 70304 is 2.

GCF(70286,70304) = 2

We will now calculate the prime factors of 70286 and 70304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70286 and 70304.

How to find the GCF of 70286 and 70304?

We will first find the prime factorization of 70286 and 70304. After we will calculate the factors of 70286 and 70304 and find the biggest common factor number .

Step-1: Prime Factorization of 70286

Prime factors of 70286 are 2, 113, 311. Prime factorization of 70286 in exponential form is:

70286 = 2¹ × 113¹ × 311¹

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 70286

List of positive integer factors of 70286 that divides 70286 without a remainder.

1, 2, 113, 226, 311, 622, 35143

Step-4: Factors of 70304

List of positive integer factors of 70304 that divides 70286 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 70286 and 70304. The biggest common factor number is the GCF number.
So the greatest common factor 70286 and 70304 is 2.

Also check out the Least Common Multiple of 70286 and 70304