What is the Greatest Common Factor of 67854 and 67874?

Greatest common factor (GCF) of 67854 and 67874 is 2.

GCF(67854,67874) = 2

We will now calculate the prime factors of 67854 and 67874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67854 and 67874.

How to find the GCF of 67854 and 67874?

We will first find the prime factorization of 67854 and 67874. After we will calculate the factors of 67854 and 67874 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 67874

Prime factors of 67874 are 2, 33937. Prime factorization of 67874 in exponential form is:

67874 = 2¹ × 33937¹

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 67874

List of positive integer factors of 67874 that divides 67854 without a remainder.

1, 2, 33937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67854 and 67874. The biggest common factor number is the GCF number.
So the greatest common factor 67854 and 67874 is 2.

Also check out the Least Common Multiple of 67854 and 67874