What is the Greatest Common Factor of 80138 and 80144?

Greatest common factor (GCF) of 80138 and 80144 is 2.

GCF(80138,80144) = 2

We will now calculate the prime factors of 80138 and 80144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80138 and 80144.

How to find the GCF of 80138 and 80144?

We will first find the prime factorization of 80138 and 80144. After we will calculate the factors of 80138 and 80144 and find the biggest common factor number .

Step-1: Prime Factorization of 80138

Prime factors of 80138 are 2, 17, 2357. Prime factorization of 80138 in exponential form is:

80138 = 2¹ × 17¹ × 2357¹

Step-2: Prime Factorization of 80144

Prime factors of 80144 are 2, 5009. Prime factorization of 80144 in exponential form is:

80144 = 2⁴ × 5009¹

Step-3: Factors of 80138

List of positive integer factors of 80138 that divides 80138 without a remainder.

1, 2, 17, 34, 2357, 4714, 40069

Step-4: Factors of 80144

List of positive integer factors of 80144 that divides 80138 without a remainder.

1, 2, 4, 8, 16, 5009, 10018, 20036, 40072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80138 and 80144. The biggest common factor number is the GCF number.
So the greatest common factor 80138 and 80144 is 2.

Also check out the Least Common Multiple of 80138 and 80144