What is the Greatest Common Factor of 42252 and 42267?

Greatest common factor (GCF) of 42252 and 42267 is 3.

GCF(42252,42267) = 3

We will now calculate the prime factors of 42252 and 42267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42252 and 42267.

How to find the GCF of 42252 and 42267?

We will first find the prime factorization of 42252 and 42267. After we will calculate the factors of 42252 and 42267 and find the biggest common factor number .

Step-1: Prime Factorization of 42252

Prime factors of 42252 are 2, 3, 7, 503. Prime factorization of 42252 in exponential form is:

42252 = 2² × 3¹ × 7¹ × 503¹

Step-2: Prime Factorization of 42267

Prime factors of 42267 are 3, 73, 193. Prime factorization of 42267 in exponential form is:

42267 = 3¹ × 73¹ × 193¹

Step-3: Factors of 42252

List of positive integer factors of 42252 that divides 42252 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 503, 1006, 1509, 2012, 3018, 3521, 6036, 7042, 10563, 14084, 21126

Step-4: Factors of 42267

List of positive integer factors of 42267 that divides 42252 without a remainder.

1, 3, 73, 193, 219, 579, 14089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42252 and 42267. The biggest common factor number is the GCF number.
So the greatest common factor 42252 and 42267 is 3.

Also check out the Least Common Multiple of 42252 and 42267