What is the Greatest Common Factor of 45846 and 45864?

Greatest common factor (GCF) of 45846 and 45864 is 18.

GCF(45846,45864) = 18

We will now calculate the prime factors of 45846 and 45864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45846 and 45864.

How to find the GCF of 45846 and 45864?

We will first find the prime factorization of 45846 and 45864. After we will calculate the factors of 45846 and 45864 and find the biggest common factor number .

Step-1: Prime Factorization of 45846

Prime factors of 45846 are 2, 3, 283. Prime factorization of 45846 in exponential form is:

45846 = 2¹ × 3⁴ × 283¹

Step-2: Prime Factorization of 45864

Prime factors of 45864 are 2, 3, 7, 13. Prime factorization of 45864 in exponential form is:

45864 = 2³ × 3² × 7² × 13¹

Step-3: Factors of 45846

List of positive integer factors of 45846 that divides 45846 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 283, 566, 849, 1698, 2547, 5094, 7641, 15282, 22923

Step-4: Factors of 45864

List of positive integer factors of 45864 that divides 45846 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 28, 36, 39, 42, 49, 52, 56, 63, 72, 78, 84, 91, 98, 104, 117, 126, 147, 156, 168, 182, 196, 234, 252, 273, 294, 312, 364, 392, 441, 468, 504, 546, 588, 637, 728, 819, 882, 936, 1092, 1176, 1274, 1638, 1764, 1911, 2184, 2548, 3276, 3528, 3822, 5096, 5733, 6552, 7644, 11466, 15288, 22932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45846 and 45864. The biggest common factor number is the GCF number.
So the greatest common factor 45846 and 45864 is 18.

Also check out the Least Common Multiple of 45846 and 45864