What is the Greatest Common Factor of 99598 and 99612?

Greatest common factor (GCF) of 99598 and 99612 is 2.

GCF(99598,99612) = 2

We will now calculate the prime factors of 99598 and 99612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99598 and 99612.

How to find the GCF of 99598 and 99612?

We will first find the prime factorization of 99598 and 99612. After we will calculate the factors of 99598 and 99612 and find the biggest common factor number .

Step-1: Prime Factorization of 99598

Prime factors of 99598 are 2, 19, 2621. Prime factorization of 99598 in exponential form is:

99598 = 2¹ × 19¹ × 2621¹

Step-2: Prime Factorization of 99612

Prime factors of 99612 are 2, 3, 2767. Prime factorization of 99612 in exponential form is:

99612 = 2² × 3² × 2767¹

Step-3: Factors of 99598

List of positive integer factors of 99598 that divides 99598 without a remainder.

1, 2, 19, 38, 2621, 5242, 49799

Step-4: Factors of 99612

List of positive integer factors of 99612 that divides 99598 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2767, 5534, 8301, 11068, 16602, 24903, 33204, 49806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99598 and 99612. The biggest common factor number is the GCF number.
So the greatest common factor 99598 and 99612 is 2.

Also check out the Least Common Multiple of 99598 and 99612