What is the Greatest Common Factor of 45561 and 45565?

Greatest common factor (GCF) of 45561 and 45565 is 1.

GCF(45561,45565) = 1

We will now calculate the prime factors of 45561 and 45565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45561 and 45565.

How to find the GCF of 45561 and 45565?

We will first find the prime factorization of 45561 and 45565. After we will calculate the factors of 45561 and 45565 and find the biggest common factor number .

Step-1: Prime Factorization of 45561

Prime factors of 45561 are 3, 15187. Prime factorization of 45561 in exponential form is:

45561 = 3¹ × 15187¹

Step-2: Prime Factorization of 45565

Prime factors of 45565 are 5, 13, 701. Prime factorization of 45565 in exponential form is:

45565 = 5¹ × 13¹ × 701¹

Step-3: Factors of 45561

List of positive integer factors of 45561 that divides 45561 without a remainder.

1, 3, 15187

Step-4: Factors of 45565

List of positive integer factors of 45565 that divides 45561 without a remainder.

1, 5, 13, 65, 701, 3505, 9113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45561 and 45565. The biggest common factor number is the GCF number.
So the greatest common factor 45561 and 45565 is 1.

Also check out the Least Common Multiple of 45561 and 45565