What is the Greatest Common Factor of 45705 and 45721?

Greatest common factor (GCF) of 45705 and 45721 is 1.

GCF(45705,45721) = 1

We will now calculate the prime factors of 45705 and 45721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45705 and 45721.

How to find the GCF of 45705 and 45721?

We will first find the prime factorization of 45705 and 45721. After we will calculate the factors of 45705 and 45721 and find the biggest common factor number .

Step-1: Prime Factorization of 45705

Prime factors of 45705 are 3, 5, 11, 277. Prime factorization of 45705 in exponential form is:

45705 = 3¹ × 5¹ × 11¹ × 277¹

Step-2: Prime Factorization of 45721

Prime factors of 45721 are 13, 3517. Prime factorization of 45721 in exponential form is:

45721 = 13¹ × 3517¹

Step-3: Factors of 45705

List of positive integer factors of 45705 that divides 45705 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 277, 831, 1385, 3047, 4155, 9141, 15235

Step-4: Factors of 45721

List of positive integer factors of 45721 that divides 45705 without a remainder.

1, 13, 3517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45705 and 45721. The biggest common factor number is the GCF number.
So the greatest common factor 45705 and 45721 is 1.

Also check out the Least Common Multiple of 45705 and 45721