What is the Greatest Common Factor of 99228 and 99238?

Greatest common factor (GCF) of 99228 and 99238 is 2.

GCF(99228,99238) = 2

We will now calculate the prime factors of 99228 and 99238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99228 and 99238.

How to find the GCF of 99228 and 99238?

We will first find the prime factorization of 99228 and 99238. After we will calculate the factors of 99228 and 99238 and find the biggest common factor number .

Step-1: Prime Factorization of 99228

Prime factors of 99228 are 2, 3, 8269. Prime factorization of 99228 in exponential form is:

99228 = 2² × 3¹ × 8269¹

Step-2: Prime Factorization of 99238

Prime factors of 99238 are 2, 29, 59. Prime factorization of 99238 in exponential form is:

99238 = 2¹ × 29² × 59¹

Step-3: Factors of 99228

List of positive integer factors of 99228 that divides 99228 without a remainder.

1, 2, 3, 4, 6, 12, 8269, 16538, 24807, 33076, 49614

Step-4: Factors of 99238

List of positive integer factors of 99238 that divides 99228 without a remainder.

1, 2, 29, 58, 59, 118, 841, 1682, 1711, 3422, 49619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99228 and 99238. The biggest common factor number is the GCF number.
So the greatest common factor 99228 and 99238 is 2.

Also check out the Least Common Multiple of 99228 and 99238