What is the Greatest Common Factor of 45385 and 45403?

Greatest common factor (GCF) of 45385 and 45403 is 1.

GCF(45385,45403) = 1

We will now calculate the prime factors of 45385 and 45403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45385 and 45403.

How to find the GCF of 45385 and 45403?

We will first find the prime factorization of 45385 and 45403. After we will calculate the factors of 45385 and 45403 and find the biggest common factor number .

Step-1: Prime Factorization of 45385

Prime factors of 45385 are 5, 29, 313. Prime factorization of 45385 in exponential form is:

45385 = 5¹ × 29¹ × 313¹

Step-2: Prime Factorization of 45403

Prime factors of 45403 are 45403. Prime factorization of 45403 in exponential form is:

45403 = 45403¹

Step-3: Factors of 45385

List of positive integer factors of 45385 that divides 45385 without a remainder.

1, 5, 29, 145, 313, 1565, 9077

Step-4: Factors of 45403

List of positive integer factors of 45403 that divides 45385 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45385 and 45403. The biggest common factor number is the GCF number.
So the greatest common factor 45385 and 45403 is 1.

Also check out the Least Common Multiple of 45385 and 45403