What is the Greatest Common Factor of 7234 and 7252?

Greatest common factor (GCF) of 7234 and 7252 is 2.

GCF(7234,7252) = 2

We will now calculate the prime factors of 7234 and 7252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7234 and 7252.

How to find the GCF of 7234 and 7252?

We will first find the prime factorization of 7234 and 7252. After we will calculate the factors of 7234 and 7252 and find the biggest common factor number .

Step-1: Prime Factorization of 7234

Prime factors of 7234 are 2, 3617. Prime factorization of 7234 in exponential form is:

7234 = 2¹ × 3617¹

Step-2: Prime Factorization of 7252

Prime factors of 7252 are 2, 7, 37. Prime factorization of 7252 in exponential form is:

7252 = 2² × 7² × 37¹

Step-3: Factors of 7234

List of positive integer factors of 7234 that divides 7234 without a remainder.

1, 2, 3617

Step-4: Factors of 7252

List of positive integer factors of 7252 that divides 7234 without a remainder.

1, 2, 4, 7, 14, 28, 37, 49, 74, 98, 148, 196, 259, 518, 1036, 1813, 3626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7234 and 7252. The biggest common factor number is the GCF number.
So the greatest common factor 7234 and 7252 is 2.

Also check out the Least Common Multiple of 7234 and 7252