What is the Greatest Common Factor of 80114 and 80134?

Greatest common factor (GCF) of 80114 and 80134 is 2.

GCF(80114,80134) = 2

We will now calculate the prime factors of 80114 and 80134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80114 and 80134.

How to find the GCF of 80114 and 80134?

We will first find the prime factorization of 80114 and 80134. After we will calculate the factors of 80114 and 80134 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 80134

Prime factors of 80134 are 2, 103, 389. Prime factorization of 80134 in exponential form is:

80134 = 2¹ × 103¹ × 389¹

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 80134

List of positive integer factors of 80134 that divides 80114 without a remainder.

1, 2, 103, 206, 389, 778, 40067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80114 and 80134. The biggest common factor number is the GCF number.
So the greatest common factor 80114 and 80134 is 2.

Also check out the Least Common Multiple of 80114 and 80134