What is the Greatest Common Factor of 45735 and 45747?

Greatest common factor (GCF) of 45735 and 45747 is 3.

GCF(45735,45747) = 3

We will now calculate the prime factors of 45735 and 45747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45735 and 45747.

How to find the GCF of 45735 and 45747?

We will first find the prime factorization of 45735 and 45747. After we will calculate the factors of 45735 and 45747 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 45747

Prime factors of 45747 are 3, 13, 17, 23. Prime factorization of 45747 in exponential form is:

45747 = 3² × 13¹ × 17¹ × 23¹

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 45747

List of positive integer factors of 45747 that divides 45735 without a remainder.

1, 3, 9, 13, 17, 23, 39, 51, 69, 117, 153, 207, 221, 299, 391, 663, 897, 1173, 1989, 2691, 3519, 5083, 15249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45735 and 45747. The biggest common factor number is the GCF number.
So the greatest common factor 45735 and 45747 is 3.

Also check out the Least Common Multiple of 45735 and 45747