What is the Greatest Common Factor of 99272 and 99292?

Greatest common factor (GCF) of 99272 and 99292 is 4.

GCF(99272,99292) = 4

We will now calculate the prime factors of 99272 and 99292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99272 and 99292.

How to find the GCF of 99272 and 99292?

We will first find the prime factorization of 99272 and 99292. After we will calculate the factors of 99272 and 99292 and find the biggest common factor number .

Step-1: Prime Factorization of 99272

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

99272 = 2³ × 12409¹

Step-2: Prime Factorization of 99292

Prime factors of 99292 are 2, 103, 241. Prime factorization of 99292 in exponential form is:

99292 = 2² × 103¹ × 241¹

Step-3: Factors of 99272

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

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

Step-4: Factors of 99292

List of positive integer factors of 99292 that divides 99272 without a remainder.

1, 2, 4, 103, 206, 241, 412, 482, 964, 24823, 49646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99272 and 99292. The biggest common factor number is the GCF number.
So the greatest common factor 99272 and 99292 is 4.

Also check out the Least Common Multiple of 99272 and 99292