What is the Greatest Common Factor of 80224 and 80233?

Greatest common factor (GCF) of 80224 and 80233 is 1.

GCF(80224,80233) = 1

We will now calculate the prime factors of 80224 and 80233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80224 and 80233.

How to find the GCF of 80224 and 80233?

We will first find the prime factorization of 80224 and 80233. After we will calculate the factors of 80224 and 80233 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 80233

Prime factors of 80233 are 80233. Prime factorization of 80233 in exponential form is:

80233 = 80233¹

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 80233

List of positive integer factors of 80233 that divides 80224 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80224 and 80233. The biggest common factor number is the GCF number.
So the greatest common factor 80224 and 80233 is 1.

Also check out the Least Common Multiple of 80224 and 80233