What is the Greatest Common Factor of 70308 and 70326?

Greatest common factor (GCF) of 70308 and 70326 is 18.

GCF(70308,70326) = 18

We will now calculate the prime factors of 70308 and 70326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70308 and 70326.

How to find the GCF of 70308 and 70326?

We will first find the prime factorization of 70308 and 70326. After we will calculate the factors of 70308 and 70326 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 70326

Prime factors of 70326 are 2, 3, 3907. Prime factorization of 70326 in exponential form is:

70326 = 2¹ × 3² × 3907¹

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 70326

List of positive integer factors of 70326 that divides 70308 without a remainder.

1, 2, 3, 6, 9, 18, 3907, 7814, 11721, 23442, 35163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70308 and 70326. The biggest common factor number is the GCF number.
So the greatest common factor 70308 and 70326 is 18.

Also check out the Least Common Multiple of 70308 and 70326