What is the Greatest Common Factor of 45920 and 45940?

Greatest common factor (GCF) of 45920 and 45940 is 20.

GCF(45920,45940) = 20

We will now calculate the prime factors of 45920 and 45940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45920 and 45940.

How to find the GCF of 45920 and 45940?

We will first find the prime factorization of 45920 and 45940. After we will calculate the factors of 45920 and 45940 and find the biggest common factor number .

Step-1: Prime Factorization of 45920

Prime factors of 45920 are 2, 5, 7, 41. Prime factorization of 45920 in exponential form is:

45920 = 2⁵ × 5¹ × 7¹ × 41¹

Step-2: Prime Factorization of 45940

Prime factors of 45940 are 2, 5, 2297. Prime factorization of 45940 in exponential form is:

45940 = 2² × 5¹ × 2297¹

Step-3: Factors of 45920

List of positive integer factors of 45920 that divides 45920 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 41, 56, 70, 80, 82, 112, 140, 160, 164, 205, 224, 280, 287, 328, 410, 560, 574, 656, 820, 1120, 1148, 1312, 1435, 1640, 2296, 2870, 3280, 4592, 5740, 6560, 9184, 11480, 22960

Step-4: Factors of 45940

List of positive integer factors of 45940 that divides 45920 without a remainder.

1, 2, 4, 5, 10, 20, 2297, 4594, 9188, 11485, 22970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45920 and 45940. The biggest common factor number is the GCF number.
So the greatest common factor 45920 and 45940 is 20.

Also check out the Least Common Multiple of 45920 and 45940