What is the Greatest Common Factor of 80124 and 80135?

Greatest common factor (GCF) of 80124 and 80135 is 11.

GCF(80124,80135) = 11

We will now calculate the prime factors of 80124 and 80135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80124 and 80135.

How to find the GCF of 80124 and 80135?

We will first find the prime factorization of 80124 and 80135. After we will calculate the factors of 80124 and 80135 and find the biggest common factor number .

Step-1: Prime Factorization of 80124

Prime factors of 80124 are 2, 3, 11, 607. Prime factorization of 80124 in exponential form is:

80124 = 2² × 3¹ × 11¹ × 607¹

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 80124

List of positive integer factors of 80124 that divides 80124 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 607, 1214, 1821, 2428, 3642, 6677, 7284, 13354, 20031, 26708, 40062

Step-4: Factors of 80135

List of positive integer factors of 80135 that divides 80124 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 80124 and 80135. The biggest common factor number is the GCF number.
So the greatest common factor 80124 and 80135 is 11.

Also check out the Least Common Multiple of 80124 and 80135