What is the Greatest Common Factor of 76874 and 76890?

Greatest common factor (GCF) of 76874 and 76890 is 2.

GCF(76874,76890) = 2

We will now calculate the prime factors of 76874 and 76890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76874 and 76890.

How to find the GCF of 76874 and 76890?

We will first find the prime factorization of 76874 and 76890. After we will calculate the factors of 76874 and 76890 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 76890

Prime factors of 76890 are 2, 3, 5, 11, 233. Prime factorization of 76890 in exponential form is:

76890 = 2¹ × 3¹ × 5¹ × 11¹ × 233¹

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 76890

List of positive integer factors of 76890 that divides 76874 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 233, 330, 466, 699, 1165, 1398, 2330, 2563, 3495, 5126, 6990, 7689, 12815, 15378, 25630, 38445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76874 and 76890. The biggest common factor number is the GCF number.
So the greatest common factor 76874 and 76890 is 2.

Also check out the Least Common Multiple of 76874 and 76890