What is the Greatest Common Factor of 45920 and 45934?

Greatest common factor (GCF) of 45920 and 45934 is 14.

GCF(45920,45934) = 14

We will now calculate the prime factors of 45920 and 45934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45920 and 45934.

How to find the GCF of 45920 and 45934?

We will first find the prime factorization of 45920 and 45934. After we will calculate the factors of 45920 and 45934 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 45934

Prime factors of 45934 are 2, 7, 17, 193. Prime factorization of 45934 in exponential form is:

45934 = 2¹ × 7¹ × 17¹ × 193¹

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 45934

List of positive integer factors of 45934 that divides 45920 without a remainder.

1, 2, 7, 14, 17, 34, 119, 193, 238, 386, 1351, 2702, 3281, 6562, 22967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45920 and 45934. The biggest common factor number is the GCF number.
So the greatest common factor 45920 and 45934 is 14.

Also check out the Least Common Multiple of 45920 and 45934