What is the Greatest Common Factor of 99228 and 99246?

Greatest common factor (GCF) of 99228 and 99246 is 6.

GCF(99228,99246) = 6

We will now calculate the prime factors of 99228 and 99246, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99228 and 99246.

How to find the GCF of 99228 and 99246?

We will first find the prime factorization of 99228 and 99246. After we will calculate the factors of 99228 and 99246 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 99246

Prime factors of 99246 are 2, 3, 7, 17, 139. Prime factorization of 99246 in exponential form is:

99246 = 2¹ × 3¹ × 7¹ × 17¹ × 139¹

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 99246

List of positive integer factors of 99246 that divides 99228 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 139, 238, 278, 357, 417, 714, 834, 973, 1946, 2363, 2919, 4726, 5838, 7089, 14178, 16541, 33082, 49623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99228 and 99246. The biggest common factor number is the GCF number.
So the greatest common factor 99228 and 99246 is 6.

Also check out the Least Common Multiple of 99228 and 99246