What is the Greatest Common Factor of 80434 and 80442?

Greatest common factor (GCF) of 80434 and 80442 is 2.

GCF(80434,80442) = 2

We will now calculate the prime factors of 80434 and 80442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80434 and 80442.

How to find the GCF of 80434 and 80442?

We will first find the prime factorization of 80434 and 80442. After we will calculate the factors of 80434 and 80442 and find the biggest common factor number .

Step-1: Prime Factorization of 80434

Prime factors of 80434 are 2, 131, 307. Prime factorization of 80434 in exponential form is:

80434 = 2¹ × 131¹ × 307¹

Step-2: 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-3: Factors of 80434

List of positive integer factors of 80434 that divides 80434 without a remainder.

1, 2, 131, 262, 307, 614, 40217

Step-4: Factors of 80442

List of positive integer factors of 80442 that divides 80434 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80434 and 80442. The biggest common factor number is the GCF number.
So the greatest common factor 80434 and 80442 is 2.

Also check out the Least Common Multiple of 80434 and 80442