What is the Greatest Common Factor of 70320 and 70326?

Greatest common factor (GCF) of 70320 and 70326 is 6.

GCF(70320,70326) = 6

We will now calculate the prime factors of 70320 and 70326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70320 and 70326.

How to find the GCF of 70320 and 70326?

We will first find the prime factorization of 70320 and 70326. After we will calculate the factors of 70320 and 70326 and find the biggest common factor number .

Step-1: Prime Factorization of 70320

Prime factors of 70320 are 2, 3, 5, 293. Prime factorization of 70320 in exponential form is:

70320 = 2⁴ × 3¹ × 5¹ × 293¹

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 70320

List of positive integer factors of 70320 that divides 70320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 293, 586, 879, 1172, 1465, 1758, 2344, 2930, 3516, 4395, 4688, 5860, 7032, 8790, 11720, 14064, 17580, 23440, 35160

Step-4: Factors of 70326

List of positive integer factors of 70326 that divides 70320 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 70320 and 70326. The biggest common factor number is the GCF number.
So the greatest common factor 70320 and 70326 is 6.

Also check out the Least Common Multiple of 70320 and 70326