What is the Greatest Common Factor of 83691 and 83709?

Greatest common factor (GCF) of 83691 and 83709 is 9.

GCF(83691,83709) = 9

We will now calculate the prime factors of 83691 and 83709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83691 and 83709.

How to find the GCF of 83691 and 83709?

We will first find the prime factorization of 83691 and 83709. After we will calculate the factors of 83691 and 83709 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83709

Prime factors of 83709 are 3, 71, 131. Prime factorization of 83709 in exponential form is:

83709 = 3² × 71¹ × 131¹

Step-3: Factors of 83691

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

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

Step-4: Factors of 83709

List of positive integer factors of 83709 that divides 83691 without a remainder.

1, 3, 9, 71, 131, 213, 393, 639, 1179, 9301, 27903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83691 and 83709. The biggest common factor number is the GCF number.
So the greatest common factor 83691 and 83709 is 9.

Also check out the Least Common Multiple of 83691 and 83709