What is the Greatest Common Factor of 79484 and 79490?

Greatest common factor (GCF) of 79484 and 79490 is 2.

GCF(79484,79490) = 2

We will now calculate the prime factors of 79484 and 79490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79484 and 79490.

How to find the GCF of 79484 and 79490?

We will first find the prime factorization of 79484 and 79490. After we will calculate the factors of 79484 and 79490 and find the biggest common factor number .

Step-1: Prime Factorization of 79484

Prime factors of 79484 are 2, 31, 641. Prime factorization of 79484 in exponential form is:

79484 = 2² × 31¹ × 641¹

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 79484

List of positive integer factors of 79484 that divides 79484 without a remainder.

1, 2, 4, 31, 62, 124, 641, 1282, 2564, 19871, 39742

Step-4: Factors of 79490

List of positive integer factors of 79490 that divides 79484 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79484 and 79490. The biggest common factor number is the GCF number.
So the greatest common factor 79484 and 79490 is 2.

Also check out the Least Common Multiple of 79484 and 79490