What is the Greatest Common Factor of 70308 and 70316?

Greatest common factor (GCF) of 70308 and 70316 is 4.

GCF(70308,70316) = 4

We will now calculate the prime factors of 70308 and 70316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70308 and 70316.

How to find the GCF of 70308 and 70316?

We will first find the prime factorization of 70308 and 70316. After we will calculate the factors of 70308 and 70316 and find the biggest common factor number .

Step-1: Prime Factorization of 70308

Prime factors of 70308 are 2, 3, 7, 31. Prime factorization of 70308 in exponential form is:

70308 = 2² × 3⁴ × 7¹ × 31¹

Step-2: Prime Factorization of 70316

Prime factors of 70316 are 2, 17579. Prime factorization of 70316 in exponential form is:

70316 = 2² × 17579¹

Step-3: Factors of 70308

List of positive integer factors of 70308 that divides 70308 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 31, 36, 42, 54, 62, 63, 81, 84, 93, 108, 124, 126, 162, 186, 189, 217, 252, 279, 324, 372, 378, 434, 558, 567, 651, 756, 837, 868, 1116, 1134, 1302, 1674, 1953, 2268, 2511, 2604, 3348, 3906, 5022, 5859, 7812, 10044, 11718, 17577, 23436, 35154

Step-4: Factors of 70316

List of positive integer factors of 70316 that divides 70308 without a remainder.

1, 2, 4, 17579, 35158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70308 and 70316. The biggest common factor number is the GCF number.
So the greatest common factor 70308 and 70316 is 4.

Also check out the Least Common Multiple of 70308 and 70316