What is the Greatest Common Factor of 80120 and 80138?

Greatest common factor (GCF) of 80120 and 80138 is 2.

GCF(80120,80138) = 2

We will now calculate the prime factors of 80120 and 80138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80120 and 80138.

How to find the GCF of 80120 and 80138?

We will first find the prime factorization of 80120 and 80138. After we will calculate the factors of 80120 and 80138 and find the biggest common factor number .

Step-1: Prime Factorization of 80120

Prime factors of 80120 are 2, 5, 2003. Prime factorization of 80120 in exponential form is:

80120 = 2³ × 5¹ × 2003¹

Step-2: 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-3: Factors of 80120

List of positive integer factors of 80120 that divides 80120 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2003, 4006, 8012, 10015, 16024, 20030, 40060

Step-4: Factors of 80138

List of positive integer factors of 80138 that divides 80120 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80120 and 80138. The biggest common factor number is the GCF number.
So the greatest common factor 80120 and 80138 is 2.

Also check out the Least Common Multiple of 80120 and 80138