What is the Greatest Common Factor of 99261 and 99272?

Greatest common factor (GCF) of 99261 and 99272 is 1.

GCF(99261,99272) = 1

We will now calculate the prime factors of 99261 and 99272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99261 and 99272.

How to find the GCF of 99261 and 99272?

We will first find the prime factorization of 99261 and 99272. After we will calculate the factors of 99261 and 99272 and find the biggest common factor number .

Step-1: Prime Factorization of 99261

Prime factors of 99261 are 3, 41, 269. Prime factorization of 99261 in exponential form is:

99261 = 3² × 41¹ × 269¹

Step-2: Prime Factorization of 99272

Prime factors of 99272 are 2, 12409. Prime factorization of 99272 in exponential form is:

99272 = 2³ × 12409¹

Step-3: Factors of 99261

List of positive integer factors of 99261 that divides 99261 without a remainder.

1, 3, 9, 41, 123, 269, 369, 807, 2421, 11029, 33087

Step-4: Factors of 99272

List of positive integer factors of 99272 that divides 99261 without a remainder.

1, 2, 4, 8, 12409, 24818, 49636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99261 and 99272. The biggest common factor number is the GCF number.
So the greatest common factor 99261 and 99272 is 1.

Also check out the Least Common Multiple of 99261 and 99272