What is the Greatest Common Factor of 76533 and 76548?

Greatest common factor (GCF) of 76533 and 76548 is 3.

GCF(76533,76548) = 3

We will now calculate the prime factors of 76533 and 76548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76533 and 76548.

How to find the GCF of 76533 and 76548?

We will first find the prime factorization of 76533 and 76548. After we will calculate the factors of 76533 and 76548 and find the biggest common factor number .

Step-1: Prime Factorization of 76533

Prime factors of 76533 are 3, 97, 263. Prime factorization of 76533 in exponential form is:

76533 = 3¹ × 97¹ × 263¹

Step-2: Prime Factorization of 76548

Prime factors of 76548 are 2, 3, 6379. Prime factorization of 76548 in exponential form is:

76548 = 2² × 3¹ × 6379¹

Step-3: Factors of 76533

List of positive integer factors of 76533 that divides 76533 without a remainder.

1, 3, 97, 263, 291, 789, 25511

Step-4: Factors of 76548

List of positive integer factors of 76548 that divides 76533 without a remainder.

1, 2, 3, 4, 6, 12, 6379, 12758, 19137, 25516, 38274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76533 and 76548. The biggest common factor number is the GCF number.
So the greatest common factor 76533 and 76548 is 3.

Also check out the Least Common Multiple of 76533 and 76548