What is the Greatest Common Factor of 83124 and 83142?

Greatest common factor (GCF) of 83124 and 83142 is 18.

GCF(83124,83142) = 18

We will now calculate the prime factors of 83124 and 83142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83124 and 83142.

How to find the GCF of 83124 and 83142?

We will first find the prime factorization of 83124 and 83142. After we will calculate the factors of 83124 and 83142 and find the biggest common factor number .

Step-1: Prime Factorization of 83124

Prime factors of 83124 are 2, 3, 2309. Prime factorization of 83124 in exponential form is:

83124 = 2² × 3² × 2309¹

Step-2: Prime Factorization of 83142

Prime factors of 83142 are 2, 3, 31, 149. Prime factorization of 83142 in exponential form is:

83142 = 2¹ × 3² × 31¹ × 149¹

Step-3: Factors of 83124

List of positive integer factors of 83124 that divides 83124 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2309, 4618, 6927, 9236, 13854, 20781, 27708, 41562

Step-4: Factors of 83142

List of positive integer factors of 83142 that divides 83124 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 149, 186, 279, 298, 447, 558, 894, 1341, 2682, 4619, 9238, 13857, 27714, 41571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83124 and 83142. The biggest common factor number is the GCF number.
So the greatest common factor 83124 and 83142 is 18.

Also check out the Least Common Multiple of 83124 and 83142