What is the Greatest Common Factor of 18624 and 18629?

Greatest common factor (GCF) of 18624 and 18629 is 1.

GCF(18624,18629) = 1

We will now calculate the prime factors of 18624 and 18629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18624 and 18629.

How to find the GCF of 18624 and 18629?

We will first find the prime factorization of 18624 and 18629. After we will calculate the factors of 18624 and 18629 and find the biggest common factor number .

Step-1: Prime Factorization of 18624

Prime factors of 18624 are 2, 3, 97. Prime factorization of 18624 in exponential form is:

18624 = 2⁶ × 3¹ × 97¹

Step-2: Prime Factorization of 18629

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

18629 = 13¹ × 1433¹

Step-3: Factors of 18624

List of positive integer factors of 18624 that divides 18624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 97, 192, 194, 291, 388, 582, 776, 1164, 1552, 2328, 3104, 4656, 6208, 9312

Step-4: Factors of 18629

List of positive integer factors of 18629 that divides 18624 without a remainder.

1, 13, 1433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18624 and 18629. The biggest common factor number is the GCF number.
So the greatest common factor 18624 and 18629 is 1.

Also check out the Least Common Multiple of 18624 and 18629