What is the Greatest Common Factor of 7228 and 7246?

Greatest common factor (GCF) of 7228 and 7246 is 2.

GCF(7228,7246) = 2

We will now calculate the prime factors of 7228 and 7246, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7228 and 7246.

How to find the GCF of 7228 and 7246?

We will first find the prime factorization of 7228 and 7246. After we will calculate the factors of 7228 and 7246 and find the biggest common factor number .

Step-1: Prime Factorization of 7228

Prime factors of 7228 are 2, 13, 139. Prime factorization of 7228 in exponential form is:

7228 = 2² × 13¹ × 139¹

Step-2: Prime Factorization of 7246

Prime factors of 7246 are 2, 3623. Prime factorization of 7246 in exponential form is:

7246 = 2¹ × 3623¹

Step-3: Factors of 7228

List of positive integer factors of 7228 that divides 7228 without a remainder.

1, 2, 4, 13, 26, 52, 139, 278, 556, 1807, 3614

Step-4: Factors of 7246

List of positive integer factors of 7246 that divides 7228 without a remainder.

1, 2, 3623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7228 and 7246. The biggest common factor number is the GCF number.
So the greatest common factor 7228 and 7246 is 2.

Also check out the Least Common Multiple of 7228 and 7246