What is the Greatest Common Factor of 45936 and 45954?

Greatest common factor (GCF) of 45936 and 45954 is 18.

GCF(45936,45954) = 18

We will now calculate the prime factors of 45936 and 45954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45936 and 45954.

How to find the GCF of 45936 and 45954?

We will first find the prime factorization of 45936 and 45954. After we will calculate the factors of 45936 and 45954 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 45954

Prime factors of 45954 are 2, 3, 23, 37. Prime factorization of 45954 in exponential form is:

45954 = 2¹ × 3³ × 23¹ × 37¹

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 45954

List of positive integer factors of 45954 that divides 45936 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 37, 46, 54, 69, 74, 111, 138, 207, 222, 333, 414, 621, 666, 851, 999, 1242, 1702, 1998, 2553, 5106, 7659, 15318, 22977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45936 and 45954. The biggest common factor number is the GCF number.
So the greatest common factor 45936 and 45954 is 18.

Also check out the Least Common Multiple of 45936 and 45954