What is the Greatest Common Factor of 45906 and 45920?

Greatest common factor (GCF) of 45906 and 45920 is 14.

GCF(45906,45920) = 14

We will now calculate the prime factors of 45906 and 45920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45906 and 45920.

How to find the GCF of 45906 and 45920?

We will first find the prime factorization of 45906 and 45920. After we will calculate the factors of 45906 and 45920 and find the biggest common factor number .

Step-1: Prime Factorization of 45906

Prime factors of 45906 are 2, 3, 7, 1093. Prime factorization of 45906 in exponential form is:

45906 = 2¹ × 3¹ × 7¹ × 1093¹

Step-2: 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-3: Factors of 45906

List of positive integer factors of 45906 that divides 45906 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1093, 2186, 3279, 6558, 7651, 15302, 22953

Step-4: Factors of 45920

List of positive integer factors of 45920 that divides 45906 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45906 and 45920. The biggest common factor number is the GCF number.
So the greatest common factor 45906 and 45920 is 14.

Also check out the Least Common Multiple of 45906 and 45920