What is the Greatest Common Factor of 18825 and 18844?

Greatest common factor (GCF) of 18825 and 18844 is 1.

GCF(18825,18844) = 1

We will now calculate the prime factors of 18825 and 18844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18825 and 18844.

How to find the GCF of 18825 and 18844?

We will first find the prime factorization of 18825 and 18844. After we will calculate the factors of 18825 and 18844 and find the biggest common factor number .

Step-1: Prime Factorization of 18825

Prime factors of 18825 are 3, 5, 251. Prime factorization of 18825 in exponential form is:

18825 = 3¹ × 5² × 251¹

Step-2: Prime Factorization of 18844

Prime factors of 18844 are 2, 7, 673. Prime factorization of 18844 in exponential form is:

18844 = 2² × 7¹ × 673¹

Step-3: Factors of 18825

List of positive integer factors of 18825 that divides 18825 without a remainder.

1, 3, 5, 15, 25, 75, 251, 753, 1255, 3765, 6275

Step-4: Factors of 18844

List of positive integer factors of 18844 that divides 18825 without a remainder.

1, 2, 4, 7, 14, 28, 673, 1346, 2692, 4711, 9422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18825 and 18844. The biggest common factor number is the GCF number.
So the greatest common factor 18825 and 18844 is 1.

Also check out the Least Common Multiple of 18825 and 18844