What is the Greatest Common Factor of 99465 and 99484?

Greatest common factor (GCF) of 99465 and 99484 is 19.

GCF(99465,99484) = 19

We will now calculate the prime factors of 99465 and 99484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99465 and 99484.

How to find the GCF of 99465 and 99484?

We will first find the prime factorization of 99465 and 99484. After we will calculate the factors of 99465 and 99484 and find the biggest common factor number .

Step-1: Prime Factorization of 99465

Prime factors of 99465 are 3, 5, 19, 349. Prime factorization of 99465 in exponential form is:

99465 = 3¹ × 5¹ × 19¹ × 349¹

Step-2: 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-3: Factors of 99465

List of positive integer factors of 99465 that divides 99465 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285, 349, 1047, 1745, 5235, 6631, 19893, 33155

Step-4: Factors of 99484

List of positive integer factors of 99484 that divides 99465 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99465 and 99484. The biggest common factor number is the GCF number.
So the greatest common factor 99465 and 99484 is 19.

Also check out the Least Common Multiple of 99465 and 99484