What is the Greatest Common Factor of 45729 and 45744?

Greatest common factor (GCF) of 45729 and 45744 is 3.

GCF(45729,45744) = 3

We will now calculate the prime factors of 45729 and 45744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45729 and 45744.

How to find the GCF of 45729 and 45744?

We will first find the prime factorization of 45729 and 45744. After we will calculate the factors of 45729 and 45744 and find the biggest common factor number .

Step-1: Prime Factorization of 45729

Prime factors of 45729 are 3, 5081. Prime factorization of 45729 in exponential form is:

45729 = 3² × 5081¹

Step-2: Prime Factorization of 45744

Prime factors of 45744 are 2, 3, 953. Prime factorization of 45744 in exponential form is:

45744 = 2⁴ × 3¹ × 953¹

Step-3: Factors of 45729

List of positive integer factors of 45729 that divides 45729 without a remainder.

1, 3, 9, 5081, 15243

Step-4: Factors of 45744

List of positive integer factors of 45744 that divides 45729 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 953, 1906, 2859, 3812, 5718, 7624, 11436, 15248, 22872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45729 and 45744. The biggest common factor number is the GCF number.
So the greatest common factor 45729 and 45744 is 3.

Also check out the Least Common Multiple of 45729 and 45744