What is the Greatest Common Factor of 45461 and 45469?

Greatest common factor (GCF) of 45461 and 45469 is 1.

GCF(45461,45469) = 1

We will now calculate the prime factors of 45461 and 45469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45461 and 45469.

How to find the GCF of 45461 and 45469?

We will first find the prime factorization of 45461 and 45469. After we will calculate the factors of 45461 and 45469 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 45469

Prime factors of 45469 are 41, 1109. Prime factorization of 45469 in exponential form is:

45469 = 41¹ × 1109¹

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 45469

List of positive integer factors of 45469 that divides 45461 without a remainder.

1, 41, 1109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45461 and 45469. The biggest common factor number is the GCF number.
So the greatest common factor 45461 and 45469 is 1.

Also check out the Least Common Multiple of 45461 and 45469