What is the Greatest Common Factor of 45864 and 45876?

Greatest common factor (GCF) of 45864 and 45876 is 12.

GCF(45864,45876) = 12

We will now calculate the prime factors of 45864 and 45876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45864 and 45876.

How to find the GCF of 45864 and 45876?

We will first find the prime factorization of 45864 and 45876. After we will calculate the factors of 45864 and 45876 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45876

Prime factors of 45876 are 2, 3, 3823. Prime factorization of 45876 in exponential form is:

45876 = 2² × 3¹ × 3823¹

Step-3: Factors of 45864

List of positive integer factors of 45864 that divides 45864 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

Step-4: Factors of 45876

List of positive integer factors of 45876 that divides 45864 without a remainder.

1, 2, 3, 4, 6, 12, 3823, 7646, 11469, 15292, 22938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45864 and 45876. The biggest common factor number is the GCF number.
So the greatest common factor 45864 and 45876 is 12.

Also check out the Least Common Multiple of 45864 and 45876