What is the Greatest Common Factor of 80442 and 80456?

Greatest common factor (GCF) of 80442 and 80456 is 2.

GCF(80442,80456) = 2

We will now calculate the prime factors of 80442 and 80456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80442 and 80456.

How to find the GCF of 80442 and 80456?

We will first find the prime factorization of 80442 and 80456. After we will calculate the factors of 80442 and 80456 and find the biggest common factor number .

Step-1: Prime Factorization of 80442

Prime factors of 80442 are 2, 3, 41, 109. Prime factorization of 80442 in exponential form is:

80442 = 2¹ × 3² × 41¹ × 109¹

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 80442

List of positive integer factors of 80442 that divides 80442 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 109, 123, 218, 246, 327, 369, 654, 738, 981, 1962, 4469, 8938, 13407, 26814, 40221

Step-4: Factors of 80456

List of positive integer factors of 80456 that divides 80442 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 80442 and 80456. The biggest common factor number is the GCF number.
So the greatest common factor 80442 and 80456 is 2.

Also check out the Least Common Multiple of 80442 and 80456