What is the Greatest Common Factor of 18629 and 18636?

Greatest common factor (GCF) of 18629 and 18636 is 1.

GCF(18629,18636) = 1

We will now calculate the prime factors of 18629 and 18636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18629 and 18636.

How to find the GCF of 18629 and 18636?

We will first find the prime factorization of 18629 and 18636. After we will calculate the factors of 18629 and 18636 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 18636

Prime factors of 18636 are 2, 3, 1553. Prime factorization of 18636 in exponential form is:

18636 = 2² × 3¹ × 1553¹

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 18636

List of positive integer factors of 18636 that divides 18629 without a remainder.

1, 2, 3, 4, 6, 12, 1553, 3106, 4659, 6212, 9318

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18629 and 18636. The biggest common factor number is the GCF number.
So the greatest common factor 18629 and 18636 is 1.

Also check out the Least Common Multiple of 18629 and 18636