What is the Greatest Common Factor of 7223 and 7228?

Greatest common factor (GCF) of 7223 and 7228 is 1.

GCF(7223,7228) = 1

We will now calculate the prime factors of 7223 and 7228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7223 and 7228.

How to find the GCF of 7223 and 7228?

We will first find the prime factorization of 7223 and 7228. After we will calculate the factors of 7223 and 7228 and find the biggest common factor number .

Step-1: Prime Factorization of 7223

Prime factors of 7223 are 31, 233. Prime factorization of 7223 in exponential form is:

7223 = 31¹ × 233¹

Step-2: 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-3: Factors of 7223

List of positive integer factors of 7223 that divides 7223 without a remainder.

1, 31, 233

Step-4: Factors of 7228

List of positive integer factors of 7228 that divides 7223 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7223 and 7228. The biggest common factor number is the GCF number.
So the greatest common factor 7223 and 7228 is 1.

Also check out the Least Common Multiple of 7223 and 7228