What is the Greatest Common Factor of 67856 and 67864?

Greatest common factor (GCF) of 67856 and 67864 is 8.

GCF(67856,67864) = 8

We will now calculate the prime factors of 67856 and 67864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67856 and 67864.

How to find the GCF of 67856 and 67864?

We will first find the prime factorization of 67856 and 67864. After we will calculate the factors of 67856 and 67864 and find the biggest common factor number .

Step-1: Prime Factorization of 67856

Prime factors of 67856 are 2, 4241. Prime factorization of 67856 in exponential form is:

67856 = 2⁴ × 4241¹

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 67856

List of positive integer factors of 67856 that divides 67856 without a remainder.

1, 2, 4, 8, 16, 4241, 8482, 16964, 33928

Step-4: Factors of 67864

List of positive integer factors of 67864 that divides 67856 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 67856 and 67864. The biggest common factor number is the GCF number.
So the greatest common factor 67856 and 67864 is 8.

Also check out the Least Common Multiple of 67856 and 67864