What is the Greatest Common Factor of 79460 and 79470?

Greatest common factor (GCF) of 79460 and 79470 is 10.

GCF(79460,79470) = 10

We will now calculate the prime factors of 79460 and 79470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79460 and 79470.

How to find the GCF of 79460 and 79470?

We will first find the prime factorization of 79460 and 79470. After we will calculate the factors of 79460 and 79470 and find the biggest common factor number .

Step-1: Prime Factorization of 79460

Prime factors of 79460 are 2, 5, 29, 137. Prime factorization of 79460 in exponential form is:

79460 = 2² × 5¹ × 29¹ × 137¹

Step-2: 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-3: Factors of 79460

List of positive integer factors of 79460 that divides 79460 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 137, 145, 274, 290, 548, 580, 685, 1370, 2740, 3973, 7946, 15892, 19865, 39730

Step-4: Factors of 79470

List of positive integer factors of 79470 that divides 79460 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79460 and 79470. The biggest common factor number is the GCF number.
So the greatest common factor 79460 and 79470 is 10.

Also check out the Least Common Multiple of 79460 and 79470