What is the Greatest Common Factor of 45744 and 45749?

Greatest common factor (GCF) of 45744 and 45749 is 1.

GCF(45744,45749) = 1

We will now calculate the prime factors of 45744 and 45749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45744 and 45749.

How to find the GCF of 45744 and 45749?

We will first find the prime factorization of 45744 and 45749. After we will calculate the factors of 45744 and 45749 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45749

Prime factors of 45749 are 11, 4159. Prime factorization of 45749 in exponential form is:

45749 = 11¹ × 4159¹

Step-3: Factors of 45744

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

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

Step-4: Factors of 45749

List of positive integer factors of 45749 that divides 45744 without a remainder.

1, 11, 4159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45744 and 45749. The biggest common factor number is the GCF number.
So the greatest common factor 45744 and 45749 is 1.

Also check out the Least Common Multiple of 45744 and 45749