What is the Greatest Common Factor of 79480 and 79496?

Greatest common factor (GCF) of 79480 and 79496 is 8.

GCF(79480,79496) = 8

We will now calculate the prime factors of 79480 and 79496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79480 and 79496.

How to find the GCF of 79480 and 79496?

We will first find the prime factorization of 79480 and 79496. After we will calculate the factors of 79480 and 79496 and find the biggest common factor number .

Step-1: Prime Factorization of 79480

Prime factors of 79480 are 2, 5, 1987. Prime factorization of 79480 in exponential form is:

79480 = 2³ × 5¹ × 1987¹

Step-2: Prime Factorization of 79496

Prime factors of 79496 are 2, 19, 523. Prime factorization of 79496 in exponential form is:

79496 = 2³ × 19¹ × 523¹

Step-3: Factors of 79480

List of positive integer factors of 79480 that divides 79480 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1987, 3974, 7948, 9935, 15896, 19870, 39740

Step-4: Factors of 79496

List of positive integer factors of 79496 that divides 79480 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 523, 1046, 2092, 4184, 9937, 19874, 39748

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79480 and 79496. The biggest common factor number is the GCF number.
So the greatest common factor 79480 and 79496 is 8.

Also check out the Least Common Multiple of 79480 and 79496