What is the Greatest Common Factor of 83134 and 83142?

Greatest common factor (GCF) of 83134 and 83142 is 2.

GCF(83134,83142) = 2

We will now calculate the prime factors of 83134 and 83142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83134 and 83142.

How to find the GCF of 83134 and 83142?

We will first find the prime factorization of 83134 and 83142. After we will calculate the factors of 83134 and 83142 and find the biggest common factor number .

Step-1: Prime Factorization of 83134

Prime factors of 83134 are 2, 197, 211. Prime factorization of 83134 in exponential form is:

83134 = 2¹ × 197¹ × 211¹

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 83134

List of positive integer factors of 83134 that divides 83134 without a remainder.

1, 2, 197, 211, 394, 422, 41567

Step-4: Factors of 83142

List of positive integer factors of 83142 that divides 83134 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 83134 and 83142. The biggest common factor number is the GCF number.
So the greatest common factor 83134 and 83142 is 2.

Also check out the Least Common Multiple of 83134 and 83142