What is the Greatest Common Factor of 67869 and 67887?

Greatest common factor (GCF) of 67869 and 67887 is 9.

GCF(67869,67887) = 9

We will now calculate the prime factors of 67869 and 67887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67869 and 67887.

How to find the GCF of 67869 and 67887?

We will first find the prime factorization of 67869 and 67887. After we will calculate the factors of 67869 and 67887 and find the biggest common factor number .

Step-1: Prime Factorization of 67869

Prime factors of 67869 are 3, 7541. Prime factorization of 67869 in exponential form is:

67869 = 3² × 7541¹

Step-2: Prime Factorization of 67887

Prime factors of 67887 are 3, 19, 397. Prime factorization of 67887 in exponential form is:

67887 = 3² × 19¹ × 397¹

Step-3: Factors of 67869

List of positive integer factors of 67869 that divides 67869 without a remainder.

1, 3, 9, 7541, 22623

Step-4: Factors of 67887

List of positive integer factors of 67887 that divides 67869 without a remainder.

1, 3, 9, 19, 57, 171, 397, 1191, 3573, 7543, 22629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67869 and 67887. The biggest common factor number is the GCF number.
So the greatest common factor 67869 and 67887 is 9.

Also check out the Least Common Multiple of 67869 and 67887