What is the Greatest Common Factor of 45737 and 45749?

Greatest common factor (GCF) of 45737 and 45749 is 1.

GCF(45737,45749) = 1

We will now calculate the prime factors of 45737 and 45749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45737 and 45749.

How to find the GCF of 45737 and 45749?

We will first find the prime factorization of 45737 and 45749. After we will calculate the factors of 45737 and 45749 and find the biggest common factor number .

Step-1: Prime Factorization of 45737

Prime factors of 45737 are 45737. Prime factorization of 45737 in exponential form is:

45737 = 45737¹

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 45737

List of positive integer factors of 45737 that divides 45737 without a remainder.

Step-4: Factors of 45749

List of positive integer factors of 45749 that divides 45737 without a remainder.

1, 11, 4159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45737 and 45749. The biggest common factor number is the GCF number.
So the greatest common factor 45737 and 45749 is 1.

Also check out the Least Common Multiple of 45737 and 45749