What is the Greatest Common Factor of 79460 and 79479?

Greatest common factor (GCF) of 79460 and 79479 is 1.

GCF(79460,79479) = 1

We will now calculate the prime factors of 79460 and 79479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79460 and 79479.

How to find the GCF of 79460 and 79479?

We will first find the prime factorization of 79460 and 79479. After we will calculate the factors of 79460 and 79479 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 79479

Prime factors of 79479 are 3, 8831. Prime factorization of 79479 in exponential form is:

79479 = 3² × 8831¹

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 79479

List of positive integer factors of 79479 that divides 79460 without a remainder.

1, 3, 9, 8831, 26493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79460 and 79479. The biggest common factor number is the GCF number.
So the greatest common factor 79460 and 79479 is 1.

Also check out the Least Common Multiple of 79460 and 79479