What is the Greatest Common Factor of 70288 and 70308?

Greatest common factor (GCF) of 70288 and 70308 is 4.

GCF(70288,70308) = 4

We will now calculate the prime factors of 70288 and 70308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70288 and 70308.

How to find the GCF of 70288 and 70308?

We will first find the prime factorization of 70288 and 70308. After we will calculate the factors of 70288 and 70308 and find the biggest common factor number .

Step-1: Prime Factorization of 70288

Prime factors of 70288 are 2, 23, 191. Prime factorization of 70288 in exponential form is:

70288 = 2⁴ × 23¹ × 191¹

Step-2: 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-3: Factors of 70288

List of positive integer factors of 70288 that divides 70288 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 191, 368, 382, 764, 1528, 3056, 4393, 8786, 17572, 35144

Step-4: Factors of 70308

List of positive integer factors of 70308 that divides 70288 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70288 and 70308. The biggest common factor number is the GCF number.
So the greatest common factor 70288 and 70308 is 4.

Also check out the Least Common Multiple of 70288 and 70308