What is the Greatest Common Factor of 80120 and 80130?

Greatest common factor (GCF) of 80120 and 80130 is 10.

GCF(80120,80130) = 10

We will now calculate the prime factors of 80120 and 80130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80120 and 80130.

How to find the GCF of 80120 and 80130?

We will first find the prime factorization of 80120 and 80130. After we will calculate the factors of 80120 and 80130 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 80130

Prime factors of 80130 are 2, 3, 5, 2671. Prime factorization of 80130 in exponential form is:

80130 = 2¹ × 3¹ × 5¹ × 2671¹

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 80130

List of positive integer factors of 80130 that divides 80120 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2671, 5342, 8013, 13355, 16026, 26710, 40065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80120 and 80130. The biggest common factor number is the GCF number.
So the greatest common factor 80120 and 80130 is 10.

Also check out the Least Common Multiple of 80120 and 80130