What is the Greatest Common Factor of 76871 and 76890?

Greatest common factor (GCF) of 76871 and 76890 is 1.

GCF(76871,76890) = 1

We will now calculate the prime factors of 76871 and 76890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76871 and 76890.

How to find the GCF of 76871 and 76890?

We will first find the prime factorization of 76871 and 76890. After we will calculate the factors of 76871 and 76890 and find the biggest common factor number .

Step-1: Prime Factorization of 76871

Prime factors of 76871 are 76871. Prime factorization of 76871 in exponential form is:

76871 = 76871¹

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 76871

List of positive integer factors of 76871 that divides 76871 without a remainder.

Step-4: Factors of 76890

List of positive integer factors of 76890 that divides 76871 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 76871 and 76890. The biggest common factor number is the GCF number.
So the greatest common factor 76871 and 76890 is 1.

Also check out the Least Common Multiple of 76871 and 76890