What is the Greatest Common Factor of 18849 and 18868?

Greatest common factor (GCF) of 18849 and 18868 is 1.

GCF(18849,18868) = 1

We will now calculate the prime factors of 18849 and 18868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18849 and 18868.

How to find the GCF of 18849 and 18868?

We will first find the prime factorization of 18849 and 18868. After we will calculate the factors of 18849 and 18868 and find the biggest common factor number .

Step-1: Prime Factorization of 18849

Prime factors of 18849 are 3, 61, 103. Prime factorization of 18849 in exponential form is:

18849 = 3¹ × 61¹ × 103¹

Step-2: Prime Factorization of 18868

Prime factors of 18868 are 2, 53, 89. Prime factorization of 18868 in exponential form is:

18868 = 2² × 53¹ × 89¹

Step-3: Factors of 18849

List of positive integer factors of 18849 that divides 18849 without a remainder.

1, 3, 61, 103, 183, 309, 6283

Step-4: Factors of 18868

List of positive integer factors of 18868 that divides 18849 without a remainder.

1, 2, 4, 53, 89, 106, 178, 212, 356, 4717, 9434

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18849 and 18868. The biggest common factor number is the GCF number.
So the greatest common factor 18849 and 18868 is 1.

Also check out the Least Common Multiple of 18849 and 18868