What is the Greatest Common Factor of 67854 and 67864?

Greatest common factor (GCF) of 67854 and 67864 is 2.

GCF(67854,67864) = 2

We will now calculate the prime factors of 67854 and 67864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67854 and 67864.

How to find the GCF of 67854 and 67864?

We will first find the prime factorization of 67854 and 67864. After we will calculate the factors of 67854 and 67864 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 67864

Prime factors of 67864 are 2, 17, 499. Prime factorization of 67864 in exponential form is:

67864 = 2³ × 17¹ × 499¹

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 67864

List of positive integer factors of 67864 that divides 67854 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 499, 998, 1996, 3992, 8483, 16966, 33932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67854 and 67864. The biggest common factor number is the GCF number.
So the greatest common factor 67854 and 67864 is 2.

Also check out the Least Common Multiple of 67854 and 67864