What is the Greatest Common Factor of 99548 and 99562?

Greatest common factor (GCF) of 99548 and 99562 is 2.

GCF(99548,99562) = 2

We will now calculate the prime factors of 99548 and 99562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99548 and 99562.

How to find the GCF of 99548 and 99562?

We will first find the prime factorization of 99548 and 99562. After we will calculate the factors of 99548 and 99562 and find the biggest common factor number .

Step-1: Prime Factorization of 99548

Prime factors of 99548 are 2, 41, 607. Prime factorization of 99548 in exponential form is:

99548 = 2² × 41¹ × 607¹

Step-2: Prime Factorization of 99562

Prime factors of 99562 are 2, 67, 743. Prime factorization of 99562 in exponential form is:

99562 = 2¹ × 67¹ × 743¹

Step-3: Factors of 99548

List of positive integer factors of 99548 that divides 99548 without a remainder.

1, 2, 4, 41, 82, 164, 607, 1214, 2428, 24887, 49774

Step-4: Factors of 99562

List of positive integer factors of 99562 that divides 99548 without a remainder.

1, 2, 67, 134, 743, 1486, 49781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99548 and 99562. The biggest common factor number is the GCF number.
So the greatest common factor 99548 and 99562 is 2.

Also check out the Least Common Multiple of 99548 and 99562