What is the Greatest Common Factor of 45322 and 45340?

Greatest common factor (GCF) of 45322 and 45340 is 2.

GCF(45322,45340) = 2

We will now calculate the prime factors of 45322 and 45340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45322 and 45340.

How to find the GCF of 45322 and 45340?

We will first find the prime factorization of 45322 and 45340. After we will calculate the factors of 45322 and 45340 and find the biggest common factor number .

Step-1: Prime Factorization of 45322

Prime factors of 45322 are 2, 17, 31, 43. Prime factorization of 45322 in exponential form is:

45322 = 2¹ × 17¹ × 31¹ × 43¹

Step-2: 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-3: Factors of 45322

List of positive integer factors of 45322 that divides 45322 without a remainder.

1, 2, 17, 31, 34, 43, 62, 86, 527, 731, 1054, 1333, 1462, 2666, 22661

Step-4: Factors of 45340

List of positive integer factors of 45340 that divides 45322 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45322 and 45340. The biggest common factor number is the GCF number.
So the greatest common factor 45322 and 45340 is 2.

Also check out the Least Common Multiple of 45322 and 45340