What is the Greatest Common Factor of 99082 and 99088?

Greatest common factor (GCF) of 99082 and 99088 is 2.

GCF(99082,99088) = 2

We will now calculate the prime factors of 99082 and 99088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99082 and 99088.

How to find the GCF of 99082 and 99088?

We will first find the prime factorization of 99082 and 99088. After we will calculate the factors of 99082 and 99088 and find the biggest common factor number .

Step-1: Prime Factorization of 99082

Prime factors of 99082 are 2, 107, 463. Prime factorization of 99082 in exponential form is:

99082 = 2¹ × 107¹ × 463¹

Step-2: Prime Factorization of 99088

Prime factors of 99088 are 2, 11, 563. Prime factorization of 99088 in exponential form is:

99088 = 2⁴ × 11¹ × 563¹

Step-3: Factors of 99082

List of positive integer factors of 99082 that divides 99082 without a remainder.

1, 2, 107, 214, 463, 926, 49541

Step-4: Factors of 99088

List of positive integer factors of 99088 that divides 99082 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 563, 1126, 2252, 4504, 6193, 9008, 12386, 24772, 49544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99082 and 99088. The biggest common factor number is the GCF number.
So the greatest common factor 99082 and 99088 is 2.

Also check out the Least Common Multiple of 99082 and 99088