What is the Greatest Common Factor of 79490 and 79508?

Greatest common factor (GCF) of 79490 and 79508 is 2.

GCF(79490,79508) = 2

We will now calculate the prime factors of 79490 and 79508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79490 and 79508.

How to find the GCF of 79490 and 79508?

We will first find the prime factorization of 79490 and 79508. After we will calculate the factors of 79490 and 79508 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79508

Prime factors of 79508 are 2, 11, 13, 139. Prime factorization of 79508 in exponential form is:

79508 = 2² × 11¹ × 13¹ × 139¹

Step-3: Factors of 79490

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

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

Step-4: Factors of 79508

List of positive integer factors of 79508 that divides 79490 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 139, 143, 278, 286, 556, 572, 1529, 1807, 3058, 3614, 6116, 7228, 19877, 39754

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79490 and 79508. The biggest common factor number is the GCF number.
So the greatest common factor 79490 and 79508 is 2.

Also check out the Least Common Multiple of 79490 and 79508