What is the Greatest Common Factor of 80124 and 80133?

Greatest common factor (GCF) of 80124 and 80133 is 3.

GCF(80124,80133) = 3

We will now calculate the prime factors of 80124 and 80133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80124 and 80133.

How to find the GCF of 80124 and 80133?

We will first find the prime factorization of 80124 and 80133. After we will calculate the factors of 80124 and 80133 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 80133

Prime factors of 80133 are 3, 26711. Prime factorization of 80133 in exponential form is:

80133 = 3¹ × 26711¹

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 80133

List of positive integer factors of 80133 that divides 80124 without a remainder.

1, 3, 26711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80124 and 80133. The biggest common factor number is the GCF number.
So the greatest common factor 80124 and 80133 is 3.

Also check out the Least Common Multiple of 80124 and 80133