What is the Greatest Common Factor of 99484 and 99496?

Greatest common factor (GCF) of 99484 and 99496 is 4.

GCF(99484,99496) = 4

We will now calculate the prime factors of 99484 and 99496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99484 and 99496.

How to find the GCF of 99484 and 99496?

We will first find the prime factorization of 99484 and 99496. After we will calculate the factors of 99484 and 99496 and find the biggest common factor number .

Step-1: Prime Factorization of 99484

Prime factors of 99484 are 2, 7, 11, 17, 19. Prime factorization of 99484 in exponential form is:

99484 = 2² × 7¹ × 11¹ × 17¹ × 19¹

Step-2: Prime Factorization of 99496

Prime factors of 99496 are 2, 12437. Prime factorization of 99496 in exponential form is:

99496 = 2³ × 12437¹

Step-3: Factors of 99484

List of positive integer factors of 99484 that divides 99484 without a remainder.

1, 2, 4, 7, 11, 14, 17, 19, 22, 28, 34, 38, 44, 68, 76, 77, 119, 133, 154, 187, 209, 238, 266, 308, 323, 374, 418, 476, 532, 646, 748, 836, 1292, 1309, 1463, 2261, 2618, 2926, 3553, 4522, 5236, 5852, 7106, 9044, 14212, 24871, 49742

Step-4: Factors of 99496

List of positive integer factors of 99496 that divides 99484 without a remainder.

1, 2, 4, 8, 12437, 24874, 49748

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99484 and 99496. The biggest common factor number is the GCF number.
So the greatest common factor 99484 and 99496 is 4.

Also check out the Least Common Multiple of 99484 and 99496