What is the Greatest Common Factor of 79469 and 79482?

Greatest common factor (GCF) of 79469 and 79482 is 13.

GCF(79469,79482) = 13

We will now calculate the prime factors of 79469 and 79482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79469 and 79482.

How to find the GCF of 79469 and 79482?

We will first find the prime factorization of 79469 and 79482. After we will calculate the factors of 79469 and 79482 and find the biggest common factor number .

Step-1: Prime Factorization of 79469

Prime factors of 79469 are 13, 6113. Prime factorization of 79469 in exponential form is:

79469 = 13¹ × 6113¹

Step-2: Prime Factorization of 79482

Prime factors of 79482 are 2, 3, 13, 1019. Prime factorization of 79482 in exponential form is:

79482 = 2¹ × 3¹ × 13¹ × 1019¹

Step-3: Factors of 79469

List of positive integer factors of 79469 that divides 79469 without a remainder.

1, 13, 6113

Step-4: Factors of 79482

List of positive integer factors of 79482 that divides 79469 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1019, 2038, 3057, 6114, 13247, 26494, 39741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79469 and 79482. The biggest common factor number is the GCF number.
So the greatest common factor 79469 and 79482 is 13.

Also check out the Least Common Multiple of 79469 and 79482