What is the Greatest Common Factor of 45936 and 45956?

Greatest common factor (GCF) of 45936 and 45956 is 4.

GCF(45936,45956) = 4

We will now calculate the prime factors of 45936 and 45956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45936 and 45956.

How to find the GCF of 45936 and 45956?

We will first find the prime factorization of 45936 and 45956. After we will calculate the factors of 45936 and 45956 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 45956

Prime factors of 45956 are 2, 11489. Prime factorization of 45956 in exponential form is:

45956 = 2² × 11489¹

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 45956

List of positive integer factors of 45956 that divides 45936 without a remainder.

1, 2, 4, 11489, 22978

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45936 and 45956. The biggest common factor number is the GCF number.
So the greatest common factor 45936 and 45956 is 4.

Also check out the Least Common Multiple of 45936 and 45956