What is the Greatest Common Factor of 7210 and 7226?

Greatest common factor (GCF) of 7210 and 7226 is 2.

GCF(7210,7226) = 2

We will now calculate the prime factors of 7210 and 7226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7210 and 7226.

How to find the GCF of 7210 and 7226?

We will first find the prime factorization of 7210 and 7226. After we will calculate the factors of 7210 and 7226 and find the biggest common factor number .

Step-1: Prime Factorization of 7210

Prime factors of 7210 are 2, 5, 7, 103. Prime factorization of 7210 in exponential form is:

7210 = 2¹ × 5¹ × 7¹ × 103¹

Step-2: Prime Factorization of 7226

Prime factors of 7226 are 2, 3613. Prime factorization of 7226 in exponential form is:

7226 = 2¹ × 3613¹

Step-3: Factors of 7210

List of positive integer factors of 7210 that divides 7210 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 103, 206, 515, 721, 1030, 1442, 3605

Step-4: Factors of 7226

List of positive integer factors of 7226 that divides 7210 without a remainder.

1, 2, 3613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7210 and 7226. The biggest common factor number is the GCF number.
So the greatest common factor 7210 and 7226 is 2.

Also check out the Least Common Multiple of 7210 and 7226