What is the Greatest Common Factor of 79470 and 79490?

Greatest common factor (GCF) of 79470 and 79490 is 10.

GCF(79470,79490) = 10

We will now calculate the prime factors of 79470 and 79490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79470 and 79490.

How to find the GCF of 79470 and 79490?

We will first find the prime factorization of 79470 and 79490. After we will calculate the factors of 79470 and 79490 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 79490

Prime factors of 79490 are 2, 5, 7949. Prime factorization of 79490 in exponential form is:

79490 = 2¹ × 5¹ × 7949¹

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 79490

List of positive integer factors of 79490 that divides 79470 without a remainder.

1, 2, 5, 10, 7949, 15898, 39745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79470 and 79490. The biggest common factor number is the GCF number.
So the greatest common factor 79470 and 79490 is 10.

Also check out the Least Common Multiple of 79470 and 79490