What is the Greatest Common Factor of 83619 and 83638?

Greatest common factor (GCF) of 83619 and 83638 is 19.

GCF(83619,83638) = 19

We will now calculate the prime factors of 83619 and 83638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83619 and 83638.

How to find the GCF of 83619 and 83638?

We will first find the prime factorization of 83619 and 83638. After we will calculate the factors of 83619 and 83638 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 83638

Prime factors of 83638 are 2, 19, 31, 71. Prime factorization of 83638 in exponential form is:

83638 = 2¹ × 19¹ × 31¹ × 71¹

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 83638

List of positive integer factors of 83638 that divides 83619 without a remainder.

1, 2, 19, 31, 38, 62, 71, 142, 589, 1178, 1349, 2201, 2698, 4402, 41819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83619 and 83638. The biggest common factor number is the GCF number.
So the greatest common factor 83619 and 83638 is 19.

Also check out the Least Common Multiple of 83619 and 83638