What is the Greatest Common Factor of 18963 and 18969?

Greatest common factor (GCF) of 18963 and 18969 is 3.

GCF(18963,18969) = 3

We will now calculate the prime factors of 18963 and 18969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18963 and 18969.

How to find the GCF of 18963 and 18969?

We will first find the prime factorization of 18963 and 18969. After we will calculate the factors of 18963 and 18969 and find the biggest common factor number .

Step-1: Prime Factorization of 18963

Prime factors of 18963 are 3, 7, 43. Prime factorization of 18963 in exponential form is:

18963 = 3² × 7² × 43¹

Step-2: Prime Factorization of 18969

Prime factors of 18969 are 3, 6323. Prime factorization of 18969 in exponential form is:

18969 = 3¹ × 6323¹

Step-3: Factors of 18963

List of positive integer factors of 18963 that divides 18963 without a remainder.

1, 3, 7, 9, 21, 43, 49, 63, 129, 147, 301, 387, 441, 903, 2107, 2709, 6321

Step-4: Factors of 18969

List of positive integer factors of 18969 that divides 18963 without a remainder.

1, 3, 6323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18963 and 18969. The biggest common factor number is the GCF number.
So the greatest common factor 18963 and 18969 is 3.

Also check out the Least Common Multiple of 18963 and 18969