What is the Greatest Common Factor of 80112 and 80124?

Greatest common factor (GCF) of 80112 and 80124 is 12.

GCF(80112,80124) = 12

We will now calculate the prime factors of 80112 and 80124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80112 and 80124.

How to find the GCF of 80112 and 80124?

We will first find the prime factorization of 80112 and 80124. After we will calculate the factors of 80112 and 80124 and find the biggest common factor number .

Step-1: Prime Factorization of 80112

Prime factors of 80112 are 2, 3, 1669. Prime factorization of 80112 in exponential form is:

80112 = 2⁴ × 3¹ × 1669¹

Step-2: 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-3: Factors of 80112

List of positive integer factors of 80112 that divides 80112 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1669, 3338, 5007, 6676, 10014, 13352, 20028, 26704, 40056

Step-4: Factors of 80124

List of positive integer factors of 80124 that divides 80112 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80112 and 80124. The biggest common factor number is the GCF number.
So the greatest common factor 80112 and 80124 is 12.

Also check out the Least Common Multiple of 80112 and 80124