What is the Greatest Common Factor of 6762 and 6777?

Greatest common factor (GCF) of 6762 and 6777 is 3.

GCF(6762,6777) = 3

We will now calculate the prime factors of 6762 and 6777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6762 and 6777.

How to find the GCF of 6762 and 6777?

We will first find the prime factorization of 6762 and 6777. After we will calculate the factors of 6762 and 6777 and find the biggest common factor number .

Step-1: Prime Factorization of 6762

Prime factors of 6762 are 2, 3, 7, 23. Prime factorization of 6762 in exponential form is:

6762 = 2¹ × 3¹ × 7² × 23¹

Step-2: Prime Factorization of 6777

Prime factors of 6777 are 3, 251. Prime factorization of 6777 in exponential form is:

6777 = 3³ × 251¹

Step-3: Factors of 6762

List of positive integer factors of 6762 that divides 6762 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 49, 69, 98, 138, 147, 161, 294, 322, 483, 966, 1127, 2254, 3381

Step-4: Factors of 6777

List of positive integer factors of 6777 that divides 6762 without a remainder.

1, 3, 9, 27, 251, 753, 2259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6762 and 6777. The biggest common factor number is the GCF number.
So the greatest common factor 6762 and 6777 is 3.

Also check out the Least Common Multiple of 6762 and 6777