What is the Greatest Common Factor of 99331 and 99348?

Greatest common factor (GCF) of 99331 and 99348 is 17.

GCF(99331,99348) = 17

We will now calculate the prime factors of 99331 and 99348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99331 and 99348.

How to find the GCF of 99331 and 99348?

We will first find the prime factorization of 99331 and 99348. After we will calculate the factors of 99331 and 99348 and find the biggest common factor number .

Step-1: Prime Factorization of 99331

Prime factors of 99331 are 17, 5843. Prime factorization of 99331 in exponential form is:

99331 = 17¹ × 5843¹

Step-2: Prime Factorization of 99348

Prime factors of 99348 are 2, 3, 17, 487. Prime factorization of 99348 in exponential form is:

99348 = 2² × 3¹ × 17¹ × 487¹

Step-3: Factors of 99331

List of positive integer factors of 99331 that divides 99331 without a remainder.

1, 17, 5843

Step-4: Factors of 99348

List of positive integer factors of 99348 that divides 99331 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 487, 974, 1461, 1948, 2922, 5844, 8279, 16558, 24837, 33116, 49674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99331 and 99348. The biggest common factor number is the GCF number.
So the greatest common factor 99331 and 99348 is 17.

Also check out the Least Common Multiple of 99331 and 99348