What is the Greatest Common Factor of 45808 and 45824?

Greatest common factor (GCF) of 45808 and 45824 is 16.

GCF(45808,45824) = 16

We will now calculate the prime factors of 45808 and 45824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45808 and 45824.

How to find the GCF of 45808 and 45824?

We will first find the prime factorization of 45808 and 45824. After we will calculate the factors of 45808 and 45824 and find the biggest common factor number .

Step-1: Prime Factorization of 45808

Prime factors of 45808 are 2, 7, 409. Prime factorization of 45808 in exponential form is:

45808 = 2⁴ × 7¹ × 409¹

Step-2: Prime Factorization of 45824

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

45824 = 2⁸ × 179¹

Step-3: Factors of 45808

List of positive integer factors of 45808 that divides 45808 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 409, 818, 1636, 2863, 3272, 5726, 6544, 11452, 22904

Step-4: Factors of 45824

List of positive integer factors of 45824 that divides 45808 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45808 and 45824. The biggest common factor number is the GCF number.
So the greatest common factor 45808 and 45824 is 16.

Also check out the Least Common Multiple of 45808 and 45824