What is the Greatest Common Factor of 45849 and 45864?

Greatest common factor (GCF) of 45849 and 45864 is 3.

GCF(45849,45864) = 3

We will now calculate the prime factors of 45849 and 45864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45849 and 45864.

How to find the GCF of 45849 and 45864?

We will first find the prime factorization of 45849 and 45864. After we will calculate the factors of 45849 and 45864 and find the biggest common factor number .

Step-1: Prime Factorization of 45849

Prime factors of 45849 are 3, 17, 29, 31. Prime factorization of 45849 in exponential form is:

45849 = 3¹ × 17¹ × 29¹ × 31¹

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 45849

List of positive integer factors of 45849 that divides 45849 without a remainder.

1, 3, 17, 29, 31, 51, 87, 93, 493, 527, 899, 1479, 1581, 2697, 15283

Step-4: Factors of 45864

List of positive integer factors of 45864 that divides 45849 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 45849 and 45864. The biggest common factor number is the GCF number.
So the greatest common factor 45849 and 45864 is 3.

Also check out the Least Common Multiple of 45849 and 45864