What is the Greatest Common Factor of 45768 and 45777?

Greatest common factor (GCF) of 45768 and 45777 is 3.

GCF(45768,45777) = 3

We will now calculate the prime factors of 45768 and 45777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45768 and 45777.

How to find the GCF of 45768 and 45777?

We will first find the prime factorization of 45768 and 45777. After we will calculate the factors of 45768 and 45777 and find the biggest common factor number .

Step-1: Prime Factorization of 45768

Prime factors of 45768 are 2, 3, 1907. Prime factorization of 45768 in exponential form is:

45768 = 2³ × 3¹ × 1907¹

Step-2: Prime Factorization of 45777

Prime factors of 45777 are 3, 15259. Prime factorization of 45777 in exponential form is:

45777 = 3¹ × 15259¹

Step-3: Factors of 45768

List of positive integer factors of 45768 that divides 45768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1907, 3814, 5721, 7628, 11442, 15256, 22884

Step-4: Factors of 45777

List of positive integer factors of 45777 that divides 45768 without a remainder.

1, 3, 15259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45768 and 45777. The biggest common factor number is the GCF number.
So the greatest common factor 45768 and 45777 is 3.

Also check out the Least Common Multiple of 45768 and 45777