What is the Greatest Common Factor of 67854 and 67869?

Greatest common factor (GCF) of 67854 and 67869 is 3.

GCF(67854,67869) = 3

We will now calculate the prime factors of 67854 and 67869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67854 and 67869.

How to find the GCF of 67854 and 67869?

We will first find the prime factorization of 67854 and 67869. After we will calculate the factors of 67854 and 67869 and find the biggest common factor number .

Step-1: Prime Factorization of 67854

Prime factors of 67854 are 2, 3, 43, 263. Prime factorization of 67854 in exponential form is:

67854 = 2¹ × 3¹ × 43¹ × 263¹

Step-2: Prime Factorization of 67869

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

67869 = 3² × 7541¹

Step-3: Factors of 67854

List of positive integer factors of 67854 that divides 67854 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258, 263, 526, 789, 1578, 11309, 22618, 33927

Step-4: Factors of 67869

List of positive integer factors of 67869 that divides 67854 without a remainder.

1, 3, 9, 7541, 22623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67854 and 67869. The biggest common factor number is the GCF number.
So the greatest common factor 67854 and 67869 is 3.

Also check out the Least Common Multiple of 67854 and 67869