What is the Greatest Common Factor of 80114 and 80125?

Greatest common factor (GCF) of 80114 and 80125 is 1.

GCF(80114,80125) = 1

We will now calculate the prime factors of 80114 and 80125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80114 and 80125.

How to find the GCF of 80114 and 80125?

We will first find the prime factorization of 80114 and 80125. After we will calculate the factors of 80114 and 80125 and find the biggest common factor number .

Step-1: Prime Factorization of 80114

Prime factors of 80114 are 2, 41, 977. Prime factorization of 80114 in exponential form is:

80114 = 2¹ × 41¹ × 977¹

Step-2: Prime Factorization of 80125

Prime factors of 80125 are 5, 641. Prime factorization of 80125 in exponential form is:

80125 = 5³ × 641¹

Step-3: Factors of 80114

List of positive integer factors of 80114 that divides 80114 without a remainder.

1, 2, 41, 82, 977, 1954, 40057

Step-4: Factors of 80125

List of positive integer factors of 80125 that divides 80114 without a remainder.

1, 5, 25, 125, 641, 3205, 16025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80114 and 80125. The biggest common factor number is the GCF number.
So the greatest common factor 80114 and 80125 is 1.

Also check out the Least Common Multiple of 80114 and 80125