What is the Greatest Common Factor of 45824 and 45836?

Greatest common factor (GCF) of 45824 and 45836 is 4.

GCF(45824,45836) = 4

We will now calculate the prime factors of 45824 and 45836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45824 and 45836.

How to find the GCF of 45824 and 45836?

We will first find the prime factorization of 45824 and 45836. After we will calculate the factors of 45824 and 45836 and find the biggest common factor number .

Step-1: Prime Factorization of 45824

Prime factors of 45824 are 2, 179. Prime factorization of 45824 in exponential form is:

45824 = 2⁸ × 179¹

Step-2: Prime Factorization of 45836

Prime factors of 45836 are 2, 7, 1637. Prime factorization of 45836 in exponential form is:

45836 = 2² × 7¹ × 1637¹

Step-3: Factors of 45824

List of positive integer factors of 45824 that divides 45824 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 179, 256, 358, 716, 1432, 2864, 5728, 11456, 22912

Step-4: Factors of 45836

List of positive integer factors of 45836 that divides 45824 without a remainder.

1, 2, 4, 7, 14, 28, 1637, 3274, 6548, 11459, 22918

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45824 and 45836. The biggest common factor number is the GCF number.
So the greatest common factor 45824 and 45836 is 4.

Also check out the Least Common Multiple of 45824 and 45836