What is the Greatest Common Factor of 45705 and 45709?

Greatest common factor (GCF) of 45705 and 45709 is 1.

GCF(45705,45709) = 1

We will now calculate the prime factors of 45705 and 45709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45705 and 45709.

How to find the GCF of 45705 and 45709?

We will first find the prime factorization of 45705 and 45709. After we will calculate the factors of 45705 and 45709 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 45709

Prime factors of 45709 are 43, 1063. Prime factorization of 45709 in exponential form is:

45709 = 43¹ × 1063¹

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 45709

List of positive integer factors of 45709 that divides 45705 without a remainder.

1, 43, 1063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45705 and 45709. The biggest common factor number is the GCF number.
So the greatest common factor 45705 and 45709 is 1.

Also check out the Least Common Multiple of 45705 and 45709