What is the Greatest Common Factor of 79548 and 79558?

Greatest common factor (GCF) of 79548 and 79558 is 2.

GCF(79548,79558) = 2

We will now calculate the prime factors of 79548 and 79558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79548 and 79558.

How to find the GCF of 79548 and 79558?

We will first find the prime factorization of 79548 and 79558. After we will calculate the factors of 79548 and 79558 and find the biggest common factor number .

Step-1: Prime Factorization of 79548

Prime factors of 79548 are 2, 3, 7, 947. Prime factorization of 79548 in exponential form is:

79548 = 2² × 3¹ × 7¹ × 947¹

Step-2: Prime Factorization of 79558

Prime factors of 79558 are 2, 39779. Prime factorization of 79558 in exponential form is:

79558 = 2¹ × 39779¹

Step-3: Factors of 79548

List of positive integer factors of 79548 that divides 79548 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 947, 1894, 2841, 3788, 5682, 6629, 11364, 13258, 19887, 26516, 39774

Step-4: Factors of 79558

List of positive integer factors of 79558 that divides 79548 without a remainder.

1, 2, 39779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79548 and 79558. The biggest common factor number is the GCF number.
So the greatest common factor 79548 and 79558 is 2.

Also check out the Least Common Multiple of 79548 and 79558