What is the Greatest Common Factor of 8619 and 8629?

Greatest common factor (GCF) of 8619 and 8629 is 1.

GCF(8619,8629) = 1

We will now calculate the prime factors of 8619 and 8629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8619 and 8629.

How to find the GCF of 8619 and 8629?

We will first find the prime factorization of 8619 and 8629. After we will calculate the factors of 8619 and 8629 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 8629

Prime factors of 8629 are 8629. Prime factorization of 8629 in exponential form is:

8629 = 8629¹

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 8629

List of positive integer factors of 8629 that divides 8619 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8619 and 8629. The biggest common factor number is the GCF number.
So the greatest common factor 8619 and 8629 is 1.

Also check out the Least Common Multiple of 8619 and 8629