What is the Greatest Common Factor of 83142 and 83159?

Greatest common factor (GCF) of 83142 and 83159 is 1.

GCF(83142,83159) = 1

We will now calculate the prime factors of 83142 and 83159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83142 and 83159.

How to find the GCF of 83142 and 83159?

We will first find the prime factorization of 83142 and 83159. After we will calculate the factors of 83142 and 83159 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 83159

Prime factors of 83159 are 137, 607. Prime factorization of 83159 in exponential form is:

83159 = 137¹ × 607¹

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 83159

List of positive integer factors of 83159 that divides 83142 without a remainder.

1, 137, 607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83142 and 83159. The biggest common factor number is the GCF number.
So the greatest common factor 83142 and 83159 is 1.

Also check out the Least Common Multiple of 83142 and 83159