What is the Greatest Common Factor of 83234 and 83246?

Greatest common factor (GCF) of 83234 and 83246 is 2.

GCF(83234,83246) = 2

We will now calculate the prime factors of 83234 and 83246, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83234 and 83246.

How to find the GCF of 83234 and 83246?

We will first find the prime factorization of 83234 and 83246. After we will calculate the factors of 83234 and 83246 and find the biggest common factor number .

Step-1: Prime Factorization of 83234

Prime factors of 83234 are 2, 41617. Prime factorization of 83234 in exponential form is:

83234 = 2¹ × 41617¹

Step-2: Prime Factorization of 83246

Prime factors of 83246 are 2, 107, 389. Prime factorization of 83246 in exponential form is:

83246 = 2¹ × 107¹ × 389¹

Step-3: Factors of 83234

List of positive integer factors of 83234 that divides 83234 without a remainder.

1, 2, 41617

Step-4: Factors of 83246

List of positive integer factors of 83246 that divides 83234 without a remainder.

1, 2, 107, 214, 389, 778, 41623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83234 and 83246. The biggest common factor number is the GCF number.
So the greatest common factor 83234 and 83246 is 2.

Also check out the Least Common Multiple of 83234 and 83246