What is the Greatest Common Factor of 80425 and 80440?

Greatest common factor (GCF) of 80425 and 80440 is 5.

GCF(80425,80440) = 5

We will now calculate the prime factors of 80425 and 80440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80425 and 80440.

How to find the GCF of 80425 and 80440?

We will first find the prime factorization of 80425 and 80440. After we will calculate the factors of 80425 and 80440 and find the biggest common factor number .

Step-1: Prime Factorization of 80425

Prime factors of 80425 are 5, 3217. Prime factorization of 80425 in exponential form is:

80425 = 5² × 3217¹

Step-2: Prime Factorization of 80440

Prime factors of 80440 are 2, 5, 2011. Prime factorization of 80440 in exponential form is:

80440 = 2³ × 5¹ × 2011¹

Step-3: Factors of 80425

List of positive integer factors of 80425 that divides 80425 without a remainder.

1, 5, 25, 3217, 16085

Step-4: Factors of 80440

List of positive integer factors of 80440 that divides 80425 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2011, 4022, 8044, 10055, 16088, 20110, 40220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80425 and 80440. The biggest common factor number is the GCF number.
So the greatest common factor 80425 and 80440 is 5.

Also check out the Least Common Multiple of 80425 and 80440