What is the Greatest Common Factor of 45461 and 45465?

Greatest common factor (GCF) of 45461 and 45465 is 1.

GCF(45461,45465) = 1

We will now calculate the prime factors of 45461 and 45465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45461 and 45465.

How to find the GCF of 45461 and 45465?

We will first find the prime factorization of 45461 and 45465. After we will calculate the factors of 45461 and 45465 and find the biggest common factor number .

Step-1: Prime Factorization of 45461

Prime factors of 45461 are 13, 269. Prime factorization of 45461 in exponential form is:

45461 = 13² × 269¹

Step-2: Prime Factorization of 45465

Prime factors of 45465 are 3, 5, 7, 433. Prime factorization of 45465 in exponential form is:

45465 = 3¹ × 5¹ × 7¹ × 433¹

Step-3: Factors of 45461

List of positive integer factors of 45461 that divides 45461 without a remainder.

1, 13, 169, 269, 3497

Step-4: Factors of 45465

List of positive integer factors of 45465 that divides 45461 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 433, 1299, 2165, 3031, 6495, 9093, 15155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45461 and 45465. The biggest common factor number is the GCF number.
So the greatest common factor 45461 and 45465 is 1.

Also check out the Least Common Multiple of 45461 and 45465