What is the Greatest Common Factor of 83142 and 83153?

Greatest common factor (GCF) of 83142 and 83153 is 1.

GCF(83142,83153) = 1

We will now calculate the prime factors of 83142 and 83153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83142 and 83153.

How to find the GCF of 83142 and 83153?

We will first find the prime factorization of 83142 and 83153. After we will calculate the factors of 83142 and 83153 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 83153

Prime factors of 83153 are 7, 1697. Prime factorization of 83153 in exponential form is:

83153 = 7² × 1697¹

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 83153

List of positive integer factors of 83153 that divides 83142 without a remainder.

1, 7, 49, 1697, 11879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83142 and 83153. The biggest common factor number is the GCF number.
So the greatest common factor 83142 and 83153 is 1.

Also check out the Least Common Multiple of 83142 and 83153