What is the Greatest Common Factor of 99508 and 99518?

Greatest common factor (GCF) of 99508 and 99518 is 2.

GCF(99508,99518) = 2

We will now calculate the prime factors of 99508 and 99518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99508 and 99518.

How to find the GCF of 99508 and 99518?

We will first find the prime factorization of 99508 and 99518. After we will calculate the factors of 99508 and 99518 and find the biggest common factor number .

Step-1: Prime Factorization of 99508

Prime factors of 99508 are 2, 24877. Prime factorization of 99508 in exponential form is:

99508 = 2² × 24877¹

Step-2: Prime Factorization of 99518

Prime factors of 99518 are 2, 17, 2927. Prime factorization of 99518 in exponential form is:

99518 = 2¹ × 17¹ × 2927¹

Step-3: Factors of 99508

List of positive integer factors of 99508 that divides 99508 without a remainder.

1, 2, 4, 24877, 49754

Step-4: Factors of 99518

List of positive integer factors of 99518 that divides 99508 without a remainder.

1, 2, 17, 34, 2927, 5854, 49759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99508 and 99518. The biggest common factor number is the GCF number.
So the greatest common factor 99508 and 99518 is 2.

Also check out the Least Common Multiple of 99508 and 99518