What is the Greatest Common Factor of 7258 and 7270?

Greatest common factor (GCF) of 7258 and 7270 is 2.

GCF(7258,7270) = 2

We will now calculate the prime factors of 7258 and 7270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7258 and 7270.

How to find the GCF of 7258 and 7270?

We will first find the prime factorization of 7258 and 7270. After we will calculate the factors of 7258 and 7270 and find the biggest common factor number .

Step-1: Prime Factorization of 7258

Prime factors of 7258 are 2, 19, 191. Prime factorization of 7258 in exponential form is:

7258 = 2¹ × 19¹ × 191¹

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 7258

List of positive integer factors of 7258 that divides 7258 without a remainder.

1, 2, 19, 38, 191, 382, 3629

Step-4: Factors of 7270

List of positive integer factors of 7270 that divides 7258 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7258 and 7270. The biggest common factor number is the GCF number.
So the greatest common factor 7258 and 7270 is 2.

Also check out the Least Common Multiple of 7258 and 7270