What is the Greatest Common Factor of 99252 and 99267?

Greatest common factor (GCF) of 99252 and 99267 is 3.

GCF(99252,99267) = 3

We will now calculate the prime factors of 99252 and 99267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99252 and 99267.

How to find the GCF of 99252 and 99267?

We will first find the prime factorization of 99252 and 99267. After we will calculate the factors of 99252 and 99267 and find the biggest common factor number .

Step-1: Prime Factorization of 99252

Prime factors of 99252 are 2, 3, 919. Prime factorization of 99252 in exponential form is:

99252 = 2² × 3³ × 919¹

Step-2: Prime Factorization of 99267

Prime factors of 99267 are 3, 7, 29, 163. Prime factorization of 99267 in exponential form is:

99267 = 3¹ × 7¹ × 29¹ × 163¹

Step-3: Factors of 99252

List of positive integer factors of 99252 that divides 99252 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 919, 1838, 2757, 3676, 5514, 8271, 11028, 16542, 24813, 33084, 49626

Step-4: Factors of 99267

List of positive integer factors of 99267 that divides 99252 without a remainder.

1, 3, 7, 21, 29, 87, 163, 203, 489, 609, 1141, 3423, 4727, 14181, 33089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99252 and 99267. The biggest common factor number is the GCF number.
So the greatest common factor 99252 and 99267 is 3.

Also check out the Least Common Multiple of 99252 and 99267