What is the Greatest Common Factor of 99528 and 99541?

Greatest common factor (GCF) of 99528 and 99541 is 13.

GCF(99528,99541) = 13

We will now calculate the prime factors of 99528 and 99541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99528 and 99541.

How to find the GCF of 99528 and 99541?

We will first find the prime factorization of 99528 and 99541. After we will calculate the factors of 99528 and 99541 and find the biggest common factor number .

Step-1: Prime Factorization of 99528

Prime factors of 99528 are 2, 3, 11, 13, 29. Prime factorization of 99528 in exponential form is:

99528 = 2³ × 3¹ × 11¹ × 13¹ × 29¹

Step-2: Prime Factorization of 99541

Prime factors of 99541 are 13, 19, 31. Prime factorization of 99541 in exponential form is:

99541 = 13² × 19¹ × 31¹

Step-3: Factors of 99528

List of positive integer factors of 99528 that divides 99528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 24, 26, 29, 33, 39, 44, 52, 58, 66, 78, 87, 88, 104, 116, 132, 143, 156, 174, 232, 264, 286, 312, 319, 348, 377, 429, 572, 638, 696, 754, 858, 957, 1131, 1144, 1276, 1508, 1716, 1914, 2262, 2552, 3016, 3432, 3828, 4147, 4524, 7656, 8294, 9048, 12441, 16588, 24882, 33176, 49764

Step-4: Factors of 99541

List of positive integer factors of 99541 that divides 99528 without a remainder.

1, 13, 19, 31, 169, 247, 403, 589, 3211, 5239, 7657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99528 and 99541. The biggest common factor number is the GCF number.
So the greatest common factor 99528 and 99541 is 13.

Also check out the Least Common Multiple of 99528 and 99541