What is the Greatest Common Factor of 45864 and 45869?

Greatest common factor (GCF) of 45864 and 45869 is 1.

GCF(45864,45869) = 1

We will now calculate the prime factors of 45864 and 45869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45864 and 45869.

How to find the GCF of 45864 and 45869?

We will first find the prime factorization of 45864 and 45869. After we will calculate the factors of 45864 and 45869 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 45869

Prime factors of 45869 are 45869. Prime factorization of 45869 in exponential form is:

45869 = 45869¹

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 45869

List of positive integer factors of 45869 that divides 45864 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45864 and 45869. The biggest common factor number is the GCF number.
So the greatest common factor 45864 and 45869 is 1.

Also check out the Least Common Multiple of 45864 and 45869