What is the Greatest Common Factor of 83142 and 83154?

Greatest common factor (GCF) of 83142 and 83154 is 6.

GCF(83142,83154) = 6

We will now calculate the prime factors of 83142 and 83154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83142 and 83154.

How to find the GCF of 83142 and 83154?

We will first find the prime factorization of 83142 and 83154. After we will calculate the factors of 83142 and 83154 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83154

Prime factors of 83154 are 2, 3, 13859. Prime factorization of 83154 in exponential form is:

83154 = 2¹ × 3¹ × 13859¹

Step-3: Factors of 83142

List of positive integer factors of 83142 that divides 83142 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

Step-4: Factors of 83154

List of positive integer factors of 83154 that divides 83142 without a remainder.

1, 2, 3, 6, 13859, 27718, 41577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83142 and 83154. The biggest common factor number is the GCF number.
So the greatest common factor 83142 and 83154 is 6.

Also check out the Least Common Multiple of 83142 and 83154