What is the Greatest Common Factor of 79425 and 79430?

Greatest common factor (GCF) of 79425 and 79430 is 5.

GCF(79425,79430) = 5

We will now calculate the prime factors of 79425 and 79430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79425 and 79430.

How to find the GCF of 79425 and 79430?

We will first find the prime factorization of 79425 and 79430. After we will calculate the factors of 79425 and 79430 and find the biggest common factor number .

Step-1: Prime Factorization of 79425

Prime factors of 79425 are 3, 5, 353. Prime factorization of 79425 in exponential form is:

79425 = 3² × 5² × 353¹

Step-2: Prime Factorization of 79430

Prime factors of 79430 are 2, 5, 13, 47. Prime factorization of 79430 in exponential form is:

79430 = 2¹ × 5¹ × 13² × 47¹

Step-3: Factors of 79425

List of positive integer factors of 79425 that divides 79425 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 353, 1059, 1765, 3177, 5295, 8825, 15885, 26475

Step-4: Factors of 79430

List of positive integer factors of 79430 that divides 79425 without a remainder.

1, 2, 5, 10, 13, 26, 47, 65, 94, 130, 169, 235, 338, 470, 611, 845, 1222, 1690, 3055, 6110, 7943, 15886, 39715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79425 and 79430. The biggest common factor number is the GCF number.
So the greatest common factor 79425 and 79430 is 5.

Also check out the Least Common Multiple of 79425 and 79430