What is the Greatest Common Factor of 99512 and 99532?

Greatest common factor (GCF) of 99512 and 99532 is 4.

GCF(99512,99532) = 4

We will now calculate the prime factors of 99512 and 99532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99512 and 99532.

How to find the GCF of 99512 and 99532?

We will first find the prime factorization of 99512 and 99532. After we will calculate the factors of 99512 and 99532 and find the biggest common factor number .

Step-1: Prime Factorization of 99512

Prime factors of 99512 are 2, 7, 1777. Prime factorization of 99512 in exponential form is:

99512 = 2³ × 7¹ × 1777¹

Step-2: Prime Factorization of 99532

Prime factors of 99532 are 2, 149, 167. Prime factorization of 99532 in exponential form is:

99532 = 2² × 149¹ × 167¹

Step-3: Factors of 99512

List of positive integer factors of 99512 that divides 99512 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1777, 3554, 7108, 12439, 14216, 24878, 49756

Step-4: Factors of 99532

List of positive integer factors of 99532 that divides 99512 without a remainder.

1, 2, 4, 149, 167, 298, 334, 596, 668, 24883, 49766

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99512 and 99532. The biggest common factor number is the GCF number.
So the greatest common factor 99512 and 99532 is 4.

Also check out the Least Common Multiple of 99512 and 99532