What is the Greatest Common Factor of 76281 and 76299?

Greatest common factor (GCF) of 76281 and 76299 is 3.

GCF(76281,76299) = 3

We will now calculate the prime factors of 76281 and 76299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76281 and 76299.

How to find the GCF of 76281 and 76299?

We will first find the prime factorization of 76281 and 76299. After we will calculate the factors of 76281 and 76299 and find the biggest common factor number .

Step-1: Prime Factorization of 76281

Prime factors of 76281 are 3, 47, 541. Prime factorization of 76281 in exponential form is:

76281 = 3¹ × 47¹ × 541¹

Step-2: Prime Factorization of 76299

Prime factors of 76299 are 3, 29, 877. Prime factorization of 76299 in exponential form is:

76299 = 3¹ × 29¹ × 877¹

Step-3: Factors of 76281

List of positive integer factors of 76281 that divides 76281 without a remainder.

1, 3, 47, 141, 541, 1623, 25427

Step-4: Factors of 76299

List of positive integer factors of 76299 that divides 76281 without a remainder.

1, 3, 29, 87, 877, 2631, 25433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76281 and 76299. The biggest common factor number is the GCF number.
So the greatest common factor 76281 and 76299 is 3.

Also check out the Least Common Multiple of 76281 and 76299