What is the Greatest Common Factor of 8619 and 8632?

Greatest common factor (GCF) of 8619 and 8632 is 13.

GCF(8619,8632) = 13

We will now calculate the prime factors of 8619 and 8632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8619 and 8632.

How to find the GCF of 8619 and 8632?

We will first find the prime factorization of 8619 and 8632. After we will calculate the factors of 8619 and 8632 and find the biggest common factor number .

Step-1: Prime Factorization of 8619

Prime factors of 8619 are 3, 13, 17. Prime factorization of 8619 in exponential form is:

8619 = 3¹ × 13² × 17¹

Step-2: Prime Factorization of 8632

Prime factors of 8632 are 2, 13, 83. Prime factorization of 8632 in exponential form is:

8632 = 2³ × 13¹ × 83¹

Step-3: Factors of 8619

List of positive integer factors of 8619 that divides 8619 without a remainder.

1, 3, 13, 17, 39, 51, 169, 221, 507, 663, 2873

Step-4: Factors of 8632

List of positive integer factors of 8632 that divides 8619 without a remainder.

1, 2, 4, 8, 13, 26, 52, 83, 104, 166, 332, 664, 1079, 2158, 4316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8619 and 8632. The biggest common factor number is the GCF number.
So the greatest common factor 8619 and 8632 is 13.

Also check out the Least Common Multiple of 8619 and 8632