What is the Greatest Common Factor of 45936 and 45952?

Greatest common factor (GCF) of 45936 and 45952 is 16.

GCF(45936,45952) = 16

We will now calculate the prime factors of 45936 and 45952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45936 and 45952.

How to find the GCF of 45936 and 45952?

We will first find the prime factorization of 45936 and 45952. After we will calculate the factors of 45936 and 45952 and find the biggest common factor number .

Step-1: Prime Factorization of 45936

Prime factors of 45936 are 2, 3, 11, 29. Prime factorization of 45936 in exponential form is:

45936 = 2⁴ × 3² × 11¹ × 29¹

Step-2: Prime Factorization of 45952

Prime factors of 45952 are 2, 359. Prime factorization of 45952 in exponential form is:

45952 = 2⁷ × 359¹

Step-3: Factors of 45936

List of positive integer factors of 45936 that divides 45936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 29, 33, 36, 44, 48, 58, 66, 72, 87, 88, 99, 116, 132, 144, 174, 176, 198, 232, 261, 264, 319, 348, 396, 464, 522, 528, 638, 696, 792, 957, 1044, 1276, 1392, 1584, 1914, 2088, 2552, 2871, 3828, 4176, 5104, 5742, 7656, 11484, 15312, 22968

Step-4: Factors of 45952

List of positive integer factors of 45952 that divides 45936 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 359, 718, 1436, 2872, 5744, 11488, 22976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45936 and 45952. The biggest common factor number is the GCF number.
So the greatest common factor 45936 and 45952 is 16.

Also check out the Least Common Multiple of 45936 and 45952