What is the Greatest Common Factor of 42252 and 42259?

Greatest common factor (GCF) of 42252 and 42259 is 7.

GCF(42252,42259) = 7

We will now calculate the prime factors of 42252 and 42259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42252 and 42259.

How to find the GCF of 42252 and 42259?

We will first find the prime factorization of 42252 and 42259. After we will calculate the factors of 42252 and 42259 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 42259

Prime factors of 42259 are 7, 6037. Prime factorization of 42259 in exponential form is:

42259 = 7¹ × 6037¹

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 42259

List of positive integer factors of 42259 that divides 42252 without a remainder.

1, 7, 6037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42252 and 42259. The biggest common factor number is the GCF number.
So the greatest common factor 42252 and 42259 is 7.

Also check out the Least Common Multiple of 42252 and 42259