What is the Greatest Common Factor of 79470 and 79475?

Greatest common factor (GCF) of 79470 and 79475 is 5.

GCF(79470,79475) = 5

We will now calculate the prime factors of 79470 and 79475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79470 and 79475.

How to find the GCF of 79470 and 79475?

We will first find the prime factorization of 79470 and 79475. After we will calculate the factors of 79470 and 79475 and find the biggest common factor number .

Step-1: Prime Factorization of 79470

Prime factors of 79470 are 2, 3, 5, 883. Prime factorization of 79470 in exponential form is:

79470 = 2¹ × 3² × 5¹ × 883¹

Step-2: Prime Factorization of 79475

Prime factors of 79475 are 5, 11, 17. Prime factorization of 79475 in exponential form is:

79475 = 5² × 11¹ × 17²

Step-3: Factors of 79470

List of positive integer factors of 79470 that divides 79470 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 883, 1766, 2649, 4415, 5298, 7947, 8830, 13245, 15894, 26490, 39735

Step-4: Factors of 79475

List of positive integer factors of 79475 that divides 79470 without a remainder.

1, 5, 11, 17, 25, 55, 85, 187, 275, 289, 425, 935, 1445, 3179, 4675, 7225, 15895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79470 and 79475. The biggest common factor number is the GCF number.
So the greatest common factor 79470 and 79475 is 5.

Also check out the Least Common Multiple of 79470 and 79475