What is the Greatest Common Factor of 83619 and 83637?

Greatest common factor (GCF) of 83619 and 83637 is 9.

GCF(83619,83637) = 9

We will now calculate the prime factors of 83619 and 83637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83619 and 83637.

How to find the GCF of 83619 and 83637?

We will first find the prime factorization of 83619 and 83637. After we will calculate the factors of 83619 and 83637 and find the biggest common factor number .

Step-1: Prime Factorization of 83619

Prime factors of 83619 are 3, 19, 163. Prime factorization of 83619 in exponential form is:

83619 = 3³ × 19¹ × 163¹

Step-2: Prime Factorization of 83637

Prime factors of 83637 are 3, 9293. Prime factorization of 83637 in exponential form is:

83637 = 3² × 9293¹

Step-3: Factors of 83619

List of positive integer factors of 83619 that divides 83619 without a remainder.

1, 3, 9, 19, 27, 57, 163, 171, 489, 513, 1467, 3097, 4401, 9291, 27873

Step-4: Factors of 83637

List of positive integer factors of 83637 that divides 83619 without a remainder.

1, 3, 9, 9293, 27879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83619 and 83637. The biggest common factor number is the GCF number.
So the greatest common factor 83619 and 83637 is 9.

Also check out the Least Common Multiple of 83619 and 83637