What is the Greatest Common Factor of 83674 and 83691?

Greatest common factor (GCF) of 83674 and 83691 is 17.

GCF(83674,83691) = 17

We will now calculate the prime factors of 83674 and 83691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83674 and 83691.

How to find the GCF of 83674 and 83691?

We will first find the prime factorization of 83674 and 83691. After we will calculate the factors of 83674 and 83691 and find the biggest common factor number .

Step-1: Prime Factorization of 83674

Prime factors of 83674 are 2, 17, 23, 107. Prime factorization of 83674 in exponential form is:

83674 = 2¹ × 17¹ × 23¹ × 107¹

Step-2: Prime Factorization of 83691

Prime factors of 83691 are 3, 17, 547. Prime factorization of 83691 in exponential form is:

83691 = 3² × 17¹ × 547¹

Step-3: Factors of 83674

List of positive integer factors of 83674 that divides 83674 without a remainder.

1, 2, 17, 23, 34, 46, 107, 214, 391, 782, 1819, 2461, 3638, 4922, 41837

Step-4: Factors of 83691

List of positive integer factors of 83691 that divides 83674 without a remainder.

1, 3, 9, 17, 51, 153, 547, 1641, 4923, 9299, 27897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83674 and 83691. The biggest common factor number is the GCF number.
So the greatest common factor 83674 and 83691 is 17.

Also check out the Least Common Multiple of 83674 and 83691