What is the Greatest Common Factor of 70308 and 70322?

Greatest common factor (GCF) of 70308 and 70322 is 14.

GCF(70308,70322) = 14

We will now calculate the prime factors of 70308 and 70322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70308 and 70322.

How to find the GCF of 70308 and 70322?

We will first find the prime factorization of 70308 and 70322. After we will calculate the factors of 70308 and 70322 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 70322

Prime factors of 70322 are 2, 7, 5023. Prime factorization of 70322 in exponential form is:

70322 = 2¹ × 7¹ × 5023¹

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 70322

List of positive integer factors of 70322 that divides 70308 without a remainder.

1, 2, 7, 14, 5023, 10046, 35161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70308 and 70322. The biggest common factor number is the GCF number.
So the greatest common factor 70308 and 70322 is 14.

Also check out the Least Common Multiple of 70308 and 70322