What is the Greatest Common Factor of 76854 and 76874?

Greatest common factor (GCF) of 76854 and 76874 is 2.

GCF(76854,76874) = 2

We will now calculate the prime factors of 76854 and 76874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76854 and 76874.

How to find the GCF of 76854 and 76874?

We will first find the prime factorization of 76854 and 76874. After we will calculate the factors of 76854 and 76874 and find the biggest common factor number .

Step-1: Prime Factorization of 76854

Prime factors of 76854 are 2, 3, 12809. Prime factorization of 76854 in exponential form is:

76854 = 2¹ × 3¹ × 12809¹

Step-2: Prime Factorization of 76874

Prime factors of 76874 are 2, 7, 17, 19. Prime factorization of 76874 in exponential form is:

76874 = 2¹ × 7¹ × 17² × 19¹

Step-3: Factors of 76854

List of positive integer factors of 76854 that divides 76854 without a remainder.

1, 2, 3, 6, 12809, 25618, 38427

Step-4: Factors of 76874

List of positive integer factors of 76874 that divides 76854 without a remainder.

1, 2, 7, 14, 17, 19, 34, 38, 119, 133, 238, 266, 289, 323, 578, 646, 2023, 2261, 4046, 4522, 5491, 10982, 38437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76854 and 76874. The biggest common factor number is the GCF number.
So the greatest common factor 76854 and 76874 is 2.

Also check out the Least Common Multiple of 76854 and 76874