What is the Greatest Common Factor of 45920 and 45926?

Greatest common factor (GCF) of 45920 and 45926 is 2.

GCF(45920,45926) = 2

We will now calculate the prime factors of 45920 and 45926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45920 and 45926.

How to find the GCF of 45920 and 45926?

We will first find the prime factorization of 45920 and 45926. After we will calculate the factors of 45920 and 45926 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 45926

Prime factors of 45926 are 2, 22963. Prime factorization of 45926 in exponential form is:

45926 = 2¹ × 22963¹

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 45926

List of positive integer factors of 45926 that divides 45920 without a remainder.

1, 2, 22963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45920 and 45926. The biggest common factor number is the GCF number.
So the greatest common factor 45920 and 45926 is 2.

Also check out the Least Common Multiple of 45920 and 45926