What is the Greatest Common Factor of 45340 and 45349?

Greatest common factor (GCF) of 45340 and 45349 is 1.

GCF(45340,45349) = 1

We will now calculate the prime factors of 45340 and 45349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45340 and 45349.

How to find the GCF of 45340 and 45349?

We will first find the prime factorization of 45340 and 45349. After we will calculate the factors of 45340 and 45349 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 45349

Prime factors of 45349 are 101, 449. Prime factorization of 45349 in exponential form is:

45349 = 101¹ × 449¹

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 45349

List of positive integer factors of 45349 that divides 45340 without a remainder.

1, 101, 449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45340 and 45349. The biggest common factor number is the GCF number.
So the greatest common factor 45340 and 45349 is 1.

Also check out the Least Common Multiple of 45340 and 45349