What is the Greatest Common Factor of 45777 and 45786?

Greatest common factor (GCF) of 45777 and 45786 is 3.

GCF(45777,45786) = 3

We will now calculate the prime factors of 45777 and 45786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45777 and 45786.

How to find the GCF of 45777 and 45786?

We will first find the prime factorization of 45777 and 45786. After we will calculate the factors of 45777 and 45786 and find the biggest common factor number .

Step-1: Prime Factorization of 45777

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

45777 = 3¹ × 15259¹

Step-2: Prime Factorization of 45786

Prime factors of 45786 are 2, 3, 13, 587. Prime factorization of 45786 in exponential form is:

45786 = 2¹ × 3¹ × 13¹ × 587¹

Step-3: Factors of 45777

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

1, 3, 15259

Step-4: Factors of 45786

List of positive integer factors of 45786 that divides 45777 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 587, 1174, 1761, 3522, 7631, 15262, 22893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45777 and 45786. The biggest common factor number is the GCF number.
So the greatest common factor 45777 and 45786 is 3.

Also check out the Least Common Multiple of 45777 and 45786