What is the Greatest Common Factor of 45340 and 45359?

Greatest common factor (GCF) of 45340 and 45359 is 1.

GCF(45340,45359) = 1

We will now calculate the prime factors of 45340 and 45359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45340 and 45359.

How to find the GCF of 45340 and 45359?

We will first find the prime factorization of 45340 and 45359. After we will calculate the factors of 45340 and 45359 and find the biggest common factor number .

Step-1: Prime Factorization of 45340

Prime factors of 45340 are 2, 5, 2267. Prime factorization of 45340 in exponential form is:

45340 = 2² × 5¹ × 2267¹

Step-2: Prime Factorization of 45359

Prime factors of 45359 are 67, 677. Prime factorization of 45359 in exponential form is:

45359 = 67¹ × 677¹

Step-3: Factors of 45340

List of positive integer factors of 45340 that divides 45340 without a remainder.

1, 2, 4, 5, 10, 20, 2267, 4534, 9068, 11335, 22670

Step-4: Factors of 45359

List of positive integer factors of 45359 that divides 45340 without a remainder.

1, 67, 677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45340 and 45359. The biggest common factor number is the GCF number.
So the greatest common factor 45340 and 45359 is 1.

Also check out the Least Common Multiple of 45340 and 45359