What is the Greatest Common Factor of 45735 and 45739?

Greatest common factor (GCF) of 45735 and 45739 is 1.

GCF(45735,45739) = 1

We will now calculate the prime factors of 45735 and 45739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45735 and 45739.

How to find the GCF of 45735 and 45739?

We will first find the prime factorization of 45735 and 45739. After we will calculate the factors of 45735 and 45739 and find the biggest common factor number .

Step-1: Prime Factorization of 45735

Prime factors of 45735 are 3, 5, 3049. Prime factorization of 45735 in exponential form is:

45735 = 3¹ × 5¹ × 3049¹

Step-2: Prime Factorization of 45739

Prime factors of 45739 are 53, 863. Prime factorization of 45739 in exponential form is:

45739 = 53¹ × 863¹

Step-3: Factors of 45735

List of positive integer factors of 45735 that divides 45735 without a remainder.

1, 3, 5, 15, 3049, 9147, 15245

Step-4: Factors of 45739

List of positive integer factors of 45739 that divides 45735 without a remainder.

1, 53, 863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45735 and 45739. The biggest common factor number is the GCF number.
So the greatest common factor 45735 and 45739 is 1.

Also check out the Least Common Multiple of 45735 and 45739