What is the Greatest Common Factor of 42244 and 42252?

Greatest common factor (GCF) of 42244 and 42252 is 4.

GCF(42244,42252) = 4

We will now calculate the prime factors of 42244 and 42252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42244 and 42252.

How to find the GCF of 42244 and 42252?

We will first find the prime factorization of 42244 and 42252. After we will calculate the factors of 42244 and 42252 and find the biggest common factor number .

Step-1: Prime Factorization of 42244

Prime factors of 42244 are 2, 59, 179. Prime factorization of 42244 in exponential form is:

42244 = 2² × 59¹ × 179¹

Step-2: 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-3: Factors of 42244

List of positive integer factors of 42244 that divides 42244 without a remainder.

1, 2, 4, 59, 118, 179, 236, 358, 716, 10561, 21122

Step-4: Factors of 42252

List of positive integer factors of 42252 that divides 42244 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42244 and 42252. The biggest common factor number is the GCF number.
So the greatest common factor 42244 and 42252 is 4.

Also check out the Least Common Multiple of 42244 and 42252