What is the Greatest Common Factor of 70920 and 70935?

Greatest common factor (GCF) of 70920 and 70935 is 15.

GCF(70920,70935) = 15

We will now calculate the prime factors of 70920 and 70935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70920 and 70935.

How to find the GCF of 70920 and 70935?

We will first find the prime factorization of 70920 and 70935. After we will calculate the factors of 70920 and 70935 and find the biggest common factor number .

Step-1: Prime Factorization of 70920

Prime factors of 70920 are 2, 3, 5, 197. Prime factorization of 70920 in exponential form is:

70920 = 2³ × 3² × 5¹ × 197¹

Step-2: Prime Factorization of 70935

Prime factors of 70935 are 3, 5, 4729. Prime factorization of 70935 in exponential form is:

70935 = 3¹ × 5¹ × 4729¹

Step-3: Factors of 70920

List of positive integer factors of 70920 that divides 70920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 197, 360, 394, 591, 788, 985, 1182, 1576, 1773, 1970, 2364, 2955, 3546, 3940, 4728, 5910, 7092, 7880, 8865, 11820, 14184, 17730, 23640, 35460

Step-4: Factors of 70935

List of positive integer factors of 70935 that divides 70920 without a remainder.

1, 3, 5, 15, 4729, 14187, 23645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70920 and 70935. The biggest common factor number is the GCF number.
So the greatest common factor 70920 and 70935 is 15.

Also check out the Least Common Multiple of 70920 and 70935