What is the Greatest Common Factor of 76749 and 76761?

Greatest common factor (GCF) of 76749 and 76761 is 3.

GCF(76749,76761) = 3

We will now calculate the prime factors of 76749 and 76761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76749 and 76761.

How to find the GCF of 76749 and 76761?

We will first find the prime factorization of 76749 and 76761. After we will calculate the factors of 76749 and 76761 and find the biggest common factor number .

Step-1: Prime Factorization of 76749

Prime factors of 76749 are 3, 25583. Prime factorization of 76749 in exponential form is:

76749 = 3¹ × 25583¹

Step-2: Prime Factorization of 76761

Prime factors of 76761 are 3, 2843. Prime factorization of 76761 in exponential form is:

76761 = 3³ × 2843¹

Step-3: Factors of 76749

List of positive integer factors of 76749 that divides 76749 without a remainder.

1, 3, 25583

Step-4: Factors of 76761

List of positive integer factors of 76761 that divides 76749 without a remainder.

1, 3, 9, 27, 2843, 8529, 25587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76749 and 76761. The biggest common factor number is the GCF number.
So the greatest common factor 76749 and 76761 is 3.

Also check out the Least Common Multiple of 76749 and 76761