What is the Greatest Common Factor of 77493 and 77499?

Greatest common factor (GCF) of 77493 and 77499 is 3.

GCF(77493,77499) = 3

We will now calculate the prime factors of 77493 and 77499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77493 and 77499.

How to find the GCF of 77493 and 77499?

We will first find the prime factorization of 77493 and 77499. After we will calculate the factors of 77493 and 77499 and find the biggest common factor number .

Step-1: Prime Factorization of 77493

Prime factors of 77493 are 3, 13, 1987. Prime factorization of 77493 in exponential form is:

77493 = 3¹ × 13¹ × 1987¹

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 77493

List of positive integer factors of 77493 that divides 77493 without a remainder.

1, 3, 13, 39, 1987, 5961, 25831

Step-4: Factors of 77499

List of positive integer factors of 77499 that divides 77493 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 77493 and 77499. The biggest common factor number is the GCF number.
So the greatest common factor 77493 and 77499 is 3.

Also check out the Least Common Multiple of 77493 and 77499