What is the Greatest Common Factor of 77484 and 77499?

Greatest common factor (GCF) of 77484 and 77499 is 3.

GCF(77484,77499) = 3

We will now calculate the prime factors of 77484 and 77499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77484 and 77499.

How to find the GCF of 77484 and 77499?

We will first find the prime factorization of 77484 and 77499. After we will calculate the factors of 77484 and 77499 and find the biggest common factor number .

Step-1: Prime Factorization of 77484

Prime factors of 77484 are 2, 3, 11, 587. Prime factorization of 77484 in exponential form is:

77484 = 2² × 3¹ × 11¹ × 587¹

Step-2: Prime Factorization of 77499

Prime factors of 77499 are 3, 79, 109. Prime factorization of 77499 in exponential form is:

77499 = 3² × 79¹ × 109¹

Step-3: Factors of 77484

List of positive integer factors of 77484 that divides 77484 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 587, 1174, 1761, 2348, 3522, 6457, 7044, 12914, 19371, 25828, 38742

Step-4: Factors of 77499

List of positive integer factors of 77499 that divides 77484 without a remainder.

1, 3, 9, 79, 109, 237, 327, 711, 981, 8611, 25833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77484 and 77499. The biggest common factor number is the GCF number.
So the greatest common factor 77484 and 77499 is 3.

Also check out the Least Common Multiple of 77484 and 77499