What is the Greatest Common Factor of 7252 and 7261?

Greatest common factor (GCF) of 7252 and 7261 is 1.

GCF(7252,7261) = 1

We will now calculate the prime factors of 7252 and 7261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7252 and 7261.

How to find the GCF of 7252 and 7261?

We will first find the prime factorization of 7252 and 7261. After we will calculate the factors of 7252 and 7261 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 7261

Prime factors of 7261 are 53, 137. Prime factorization of 7261 in exponential form is:

7261 = 53¹ × 137¹

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 7261

List of positive integer factors of 7261 that divides 7252 without a remainder.

1, 53, 137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7252 and 7261. The biggest common factor number is the GCF number.
So the greatest common factor 7252 and 7261 is 1.

Also check out the Least Common Multiple of 7252 and 7261