What is the Greatest Common Factor of 76874 and 76893?

Greatest common factor (GCF) of 76874 and 76893 is 19.

GCF(76874,76893) = 19

We will now calculate the prime factors of 76874 and 76893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76874 and 76893.

How to find the GCF of 76874 and 76893?

We will first find the prime factorization of 76874 and 76893. After we will calculate the factors of 76874 and 76893 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76893

Prime factors of 76893 are 3, 19, 71. Prime factorization of 76893 in exponential form is:

76893 = 3¹ × 19² × 71¹

Step-3: Factors of 76874

List of positive integer factors of 76874 that divides 76874 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

Step-4: Factors of 76893

List of positive integer factors of 76893 that divides 76874 without a remainder.

1, 3, 19, 57, 71, 213, 361, 1083, 1349, 4047, 25631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76874 and 76893. The biggest common factor number is the GCF number.
So the greatest common factor 76874 and 76893 is 19.

Also check out the Least Common Multiple of 76874 and 76893