What is the Greatest Common Factor of 45340 and 45354?

Greatest common factor (GCF) of 45340 and 45354 is 2.

GCF(45340,45354) = 2

We will now calculate the prime factors of 45340 and 45354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45340 and 45354.

How to find the GCF of 45340 and 45354?

We will first find the prime factorization of 45340 and 45354. After we will calculate the factors of 45340 and 45354 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 45354

Prime factors of 45354 are 2, 3, 7559. Prime factorization of 45354 in exponential form is:

45354 = 2¹ × 3¹ × 7559¹

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 45354

List of positive integer factors of 45354 that divides 45340 without a remainder.

1, 2, 3, 6, 7559, 15118, 22677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45340 and 45354. The biggest common factor number is the GCF number.
So the greatest common factor 45340 and 45354 is 2.

Also check out the Least Common Multiple of 45340 and 45354