What is the Greatest Common Factor of 80438 and 80456?

Greatest common factor (GCF) of 80438 and 80456 is 2.

GCF(80438,80456) = 2

We will now calculate the prime factors of 80438 and 80456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80438 and 80456.

How to find the GCF of 80438 and 80456?

We will first find the prime factorization of 80438 and 80456. After we will calculate the factors of 80438 and 80456 and find the biggest common factor number .

Step-1: Prime Factorization of 80438

Prime factors of 80438 are 2, 37, 1087. Prime factorization of 80438 in exponential form is:

80438 = 2¹ × 37¹ × 1087¹

Step-2: Prime Factorization of 80456

Prime factors of 80456 are 2, 89, 113. Prime factorization of 80456 in exponential form is:

80456 = 2³ × 89¹ × 113¹

Step-3: Factors of 80438

List of positive integer factors of 80438 that divides 80438 without a remainder.

1, 2, 37, 74, 1087, 2174, 40219

Step-4: Factors of 80456

List of positive integer factors of 80456 that divides 80438 without a remainder.

1, 2, 4, 8, 89, 113, 178, 226, 356, 452, 712, 904, 10057, 20114, 40228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80438 and 80456. The biggest common factor number is the GCF number.
So the greatest common factor 80438 and 80456 is 2.

Also check out the Least Common Multiple of 80438 and 80456