What is the Greatest Common Factor of 99125 and 99138?

Greatest common factor (GCF) of 99125 and 99138 is 13.

GCF(99125,99138) = 13

We will now calculate the prime factors of 99125 and 99138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99125 and 99138.

How to find the GCF of 99125 and 99138?

We will first find the prime factorization of 99125 and 99138. After we will calculate the factors of 99125 and 99138 and find the biggest common factor number .

Step-1: Prime Factorization of 99125

Prime factors of 99125 are 5, 13, 61. Prime factorization of 99125 in exponential form is:

99125 = 5³ × 13¹ × 61¹

Step-2: Prime Factorization of 99138

Prime factors of 99138 are 2, 3, 13, 31, 41. Prime factorization of 99138 in exponential form is:

99138 = 2¹ × 3¹ × 13¹ × 31¹ × 41¹

Step-3: Factors of 99125

List of positive integer factors of 99125 that divides 99125 without a remainder.

1, 5, 13, 25, 61, 65, 125, 305, 325, 793, 1525, 1625, 3965, 7625, 19825

Step-4: Factors of 99138

List of positive integer factors of 99138 that divides 99125 without a remainder.

1, 2, 3, 6, 13, 26, 31, 39, 41, 62, 78, 82, 93, 123, 186, 246, 403, 533, 806, 1066, 1209, 1271, 1599, 2418, 2542, 3198, 3813, 7626, 16523, 33046, 49569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99125 and 99138. The biggest common factor number is the GCF number.
So the greatest common factor 99125 and 99138 is 13.

Also check out the Least Common Multiple of 99125 and 99138