What is the Greatest Common Factor of 80120 and 80135?

Greatest common factor (GCF) of 80120 and 80135 is 5.

GCF(80120,80135) = 5

We will now calculate the prime factors of 80120 and 80135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80120 and 80135.

How to find the GCF of 80120 and 80135?

We will first find the prime factorization of 80120 and 80135. After we will calculate the factors of 80120 and 80135 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 80135

Prime factors of 80135 are 5, 11, 31, 47. Prime factorization of 80135 in exponential form is:

80135 = 5¹ × 11¹ × 31¹ × 47¹

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 80135

List of positive integer factors of 80135 that divides 80120 without a remainder.

1, 5, 11, 31, 47, 55, 155, 235, 341, 517, 1457, 1705, 2585, 7285, 16027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80120 and 80135. The biggest common factor number is the GCF number.
So the greatest common factor 80120 and 80135 is 5.

Also check out the Least Common Multiple of 80120 and 80135