What is the Greatest Common Factor of 83746 and 83756?

Greatest common factor (GCF) of 83746 and 83756 is 2.

GCF(83746,83756) = 2

We will now calculate the prime factors of 83746 and 83756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83746 and 83756.

How to find the GCF of 83746 and 83756?

We will first find the prime factorization of 83746 and 83756. After we will calculate the factors of 83746 and 83756 and find the biggest common factor number .

Step-1: Prime Factorization of 83746

Prime factors of 83746 are 2, 13, 3221. Prime factorization of 83746 in exponential form is:

83746 = 2¹ × 13¹ × 3221¹

Step-2: Prime Factorization of 83756

Prime factors of 83756 are 2, 20939. Prime factorization of 83756 in exponential form is:

83756 = 2² × 20939¹

Step-3: Factors of 83746

List of positive integer factors of 83746 that divides 83746 without a remainder.

1, 2, 13, 26, 3221, 6442, 41873

Step-4: Factors of 83756

List of positive integer factors of 83756 that divides 83746 without a remainder.

1, 2, 4, 20939, 41878

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83746 and 83756. The biggest common factor number is the GCF number.
So the greatest common factor 83746 and 83756 is 2.

Also check out the Least Common Multiple of 83746 and 83756