What is the Greatest Common Factor of 80224 and 80228?

Greatest common factor (GCF) of 80224 and 80228 is 4.

GCF(80224,80228) = 4

We will now calculate the prime factors of 80224 and 80228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80224 and 80228.

How to find the GCF of 80224 and 80228?

We will first find the prime factorization of 80224 and 80228. After we will calculate the factors of 80224 and 80228 and find the biggest common factor number .

Step-1: Prime Factorization of 80224

Prime factors of 80224 are 2, 23, 109. Prime factorization of 80224 in exponential form is:

80224 = 2⁵ × 23¹ × 109¹

Step-2: Prime Factorization of 80228

Prime factors of 80228 are 2, 31, 647. Prime factorization of 80228 in exponential form is:

80228 = 2² × 31¹ × 647¹

Step-3: Factors of 80224

List of positive integer factors of 80224 that divides 80224 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 109, 184, 218, 368, 436, 736, 872, 1744, 2507, 3488, 5014, 10028, 20056, 40112

Step-4: Factors of 80228

List of positive integer factors of 80228 that divides 80224 without a remainder.

1, 2, 4, 31, 62, 124, 647, 1294, 2588, 20057, 40114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80224 and 80228. The biggest common factor number is the GCF number.
So the greatest common factor 80224 and 80228 is 4.

Also check out the Least Common Multiple of 80224 and 80228