What is the Greatest Common Factor of 83626 and 83634?

Greatest common factor (GCF) of 83626 and 83634 is 2.

GCF(83626,83634) = 2

We will now calculate the prime factors of 83626 and 83634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83626 and 83634.

How to find the GCF of 83626 and 83634?

We will first find the prime factorization of 83626 and 83634. After we will calculate the factors of 83626 and 83634 and find the biggest common factor number .

Step-1: Prime Factorization of 83626

Prime factors of 83626 are 2, 41813. Prime factorization of 83626 in exponential form is:

83626 = 2¹ × 41813¹

Step-2: Prime Factorization of 83634

Prime factors of 83634 are 2, 3, 53, 263. Prime factorization of 83634 in exponential form is:

83634 = 2¹ × 3¹ × 53¹ × 263¹

Step-3: Factors of 83626

List of positive integer factors of 83626 that divides 83626 without a remainder.

1, 2, 41813

Step-4: Factors of 83634

List of positive integer factors of 83634 that divides 83626 without a remainder.

1, 2, 3, 6, 53, 106, 159, 263, 318, 526, 789, 1578, 13939, 27878, 41817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83626 and 83634. The biggest common factor number is the GCF number.
So the greatest common factor 83626 and 83634 is 2.

Also check out the Least Common Multiple of 83626 and 83634