What is the Greatest Common Factor of 45930 and 45936?

Greatest common factor (GCF) of 45930 and 45936 is 6.

GCF(45930,45936) = 6

We will now calculate the prime factors of 45930 and 45936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45930 and 45936.

How to find the GCF of 45930 and 45936?

We will first find the prime factorization of 45930 and 45936. After we will calculate the factors of 45930 and 45936 and find the biggest common factor number .

Step-1: Prime Factorization of 45930

Prime factors of 45930 are 2, 3, 5, 1531. Prime factorization of 45930 in exponential form is:

45930 = 2¹ × 3¹ × 5¹ × 1531¹

Step-2: 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-3: Factors of 45930

List of positive integer factors of 45930 that divides 45930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1531, 3062, 4593, 7655, 9186, 15310, 22965

Step-4: Factors of 45936

List of positive integer factors of 45936 that divides 45930 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45930 and 45936. The biggest common factor number is the GCF number.
So the greatest common factor 45930 and 45936 is 6.

Also check out the Least Common Multiple of 45930 and 45936