What is the Greatest Common Factor of 70470 and 70475?

Greatest common factor (GCF) of 70470 and 70475 is 5.

GCF(70470,70475) = 5

We will now calculate the prime factors of 70470 and 70475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70470 and 70475.

How to find the GCF of 70470 and 70475?

We will first find the prime factorization of 70470 and 70475. After we will calculate the factors of 70470 and 70475 and find the biggest common factor number .

Step-1: Prime Factorization of 70470

Prime factors of 70470 are 2, 3, 5, 29. Prime factorization of 70470 in exponential form is:

70470 = 2¹ × 3⁵ × 5¹ × 29¹

Step-2: Prime Factorization of 70475

Prime factors of 70475 are 5, 2819. Prime factorization of 70475 in exponential form is:

70475 = 5² × 2819¹

Step-3: Factors of 70470

List of positive integer factors of 70470 that divides 70470 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 29, 30, 45, 54, 58, 81, 87, 90, 135, 145, 162, 174, 243, 261, 270, 290, 405, 435, 486, 522, 783, 810, 870, 1215, 1305, 1566, 2349, 2430, 2610, 3915, 4698, 7047, 7830, 11745, 14094, 23490, 35235

Step-4: Factors of 70475

List of positive integer factors of 70475 that divides 70470 without a remainder.

1, 5, 25, 2819, 14095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70470 and 70475. The biggest common factor number is the GCF number.
So the greatest common factor 70470 and 70475 is 5.

Also check out the Least Common Multiple of 70470 and 70475