What is the Greatest Common Factor of 69252 and 69267?

Greatest common factor (GCF) of 69252 and 69267 is 3.

GCF(69252,69267) = 3

We will now calculate the prime factors of 69252 and 69267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69252 and 69267.

How to find the GCF of 69252 and 69267?

We will first find the prime factorization of 69252 and 69267. After we will calculate the factors of 69252 and 69267 and find the biggest common factor number .

Step-1: Prime Factorization of 69252

Prime factors of 69252 are 2, 3, 29, 199. Prime factorization of 69252 in exponential form is:

69252 = 2² × 3¹ × 29¹ × 199¹

Step-2: Prime Factorization of 69267

Prime factors of 69267 are 3, 11, 2099. Prime factorization of 69267 in exponential form is:

69267 = 3¹ × 11¹ × 2099¹

Step-3: Factors of 69252

List of positive integer factors of 69252 that divides 69252 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 199, 348, 398, 597, 796, 1194, 2388, 5771, 11542, 17313, 23084, 34626

Step-4: Factors of 69267

List of positive integer factors of 69267 that divides 69252 without a remainder.

1, 3, 11, 33, 2099, 6297, 23089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69252 and 69267. The biggest common factor number is the GCF number.
So the greatest common factor 69252 and 69267 is 3.

Also check out the Least Common Multiple of 69252 and 69267