What is the Greatest Common Factor of 45792 and 45808?

Greatest common factor (GCF) of 45792 and 45808 is 16.

GCF(45792,45808) = 16

We will now calculate the prime factors of 45792 and 45808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45792 and 45808.

How to find the GCF of 45792 and 45808?

We will first find the prime factorization of 45792 and 45808. After we will calculate the factors of 45792 and 45808 and find the biggest common factor number .

Step-1: Prime Factorization of 45792

Prime factors of 45792 are 2, 3, 53. Prime factorization of 45792 in exponential form is:

45792 = 2⁵ × 3³ × 53¹

Step-2: 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-3: Factors of 45792

List of positive integer factors of 45792 that divides 45792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 53, 54, 72, 96, 106, 108, 144, 159, 212, 216, 288, 318, 424, 432, 477, 636, 848, 864, 954, 1272, 1431, 1696, 1908, 2544, 2862, 3816, 5088, 5724, 7632, 11448, 15264, 22896

Step-4: Factors of 45808

List of positive integer factors of 45808 that divides 45792 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45792 and 45808. The biggest common factor number is the GCF number.
So the greatest common factor 45792 and 45808 is 16.

Also check out the Least Common Multiple of 45792 and 45808