What is the Greatest Common Factor of 18629 and 18642?

Greatest common factor (GCF) of 18629 and 18642 is 13.

GCF(18629,18642) = 13

We will now calculate the prime factors of 18629 and 18642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18629 and 18642.

How to find the GCF of 18629 and 18642?

We will first find the prime factorization of 18629 and 18642. After we will calculate the factors of 18629 and 18642 and find the biggest common factor number .

Step-1: Prime Factorization of 18629

Prime factors of 18629 are 13, 1433. Prime factorization of 18629 in exponential form is:

18629 = 13¹ × 1433¹

Step-2: Prime Factorization of 18642

Prime factors of 18642 are 2, 3, 13, 239. Prime factorization of 18642 in exponential form is:

18642 = 2¹ × 3¹ × 13¹ × 239¹

Step-3: Factors of 18629

List of positive integer factors of 18629 that divides 18629 without a remainder.

1, 13, 1433

Step-4: Factors of 18642

List of positive integer factors of 18642 that divides 18629 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 239, 478, 717, 1434, 3107, 6214, 9321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18629 and 18642. The biggest common factor number is the GCF number.
So the greatest common factor 18629 and 18642 is 13.

Also check out the Least Common Multiple of 18629 and 18642