What is the Greatest Common Factor of 7252 and 7270?

Greatest common factor (GCF) of 7252 and 7270 is 2.

GCF(7252,7270) = 2

We will now calculate the prime factors of 7252 and 7270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7252 and 7270.

How to find the GCF of 7252 and 7270?

We will first find the prime factorization of 7252 and 7270. After we will calculate the factors of 7252 and 7270 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7270

Prime factors of 7270 are 2, 5, 727. Prime factorization of 7270 in exponential form is:

7270 = 2¹ × 5¹ × 727¹

Step-3: Factors of 7252

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

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

Step-4: Factors of 7270

List of positive integer factors of 7270 that divides 7252 without a remainder.

1, 2, 5, 10, 727, 1454, 3635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7252 and 7270. The biggest common factor number is the GCF number.
So the greatest common factor 7252 and 7270 is 2.

Also check out the Least Common Multiple of 7252 and 7270