What is the Greatest Common Factor of 77499 and 77508?

Greatest common factor (GCF) of 77499 and 77508 is 9.

GCF(77499,77508) = 9

We will now calculate the prime factors of 77499 and 77508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77499 and 77508.

How to find the GCF of 77499 and 77508?

We will first find the prime factorization of 77499 and 77508. After we will calculate the factors of 77499 and 77508 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77508

Prime factors of 77508 are 2, 3, 2153. Prime factorization of 77508 in exponential form is:

77508 = 2² × 3² × 2153¹

Step-3: Factors of 77499

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

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

Step-4: Factors of 77508

List of positive integer factors of 77508 that divides 77499 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2153, 4306, 6459, 8612, 12918, 19377, 25836, 38754

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77499 and 77508. The biggest common factor number is the GCF number.
So the greatest common factor 77499 and 77508 is 9.

Also check out the Least Common Multiple of 77499 and 77508