What is the Greatest Common Factor of 70320 and 70335?

Greatest common factor (GCF) of 70320 and 70335 is 15.

GCF(70320,70335) = 15

We will now calculate the prime factors of 70320 and 70335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70320 and 70335.

How to find the GCF of 70320 and 70335?

We will first find the prime factorization of 70320 and 70335. After we will calculate the factors of 70320 and 70335 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 70335

Prime factors of 70335 are 3, 5, 521. Prime factorization of 70335 in exponential form is:

70335 = 3³ × 5¹ × 521¹

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 70335

List of positive integer factors of 70335 that divides 70320 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 521, 1563, 2605, 4689, 7815, 14067, 23445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70320 and 70335. The biggest common factor number is the GCF number.
So the greatest common factor 70320 and 70335 is 15.

Also check out the Least Common Multiple of 70320 and 70335