What is the Greatest Common Factor of 45864 and 45877?

Greatest common factor (GCF) of 45864 and 45877 is 13.

GCF(45864,45877) = 13

We will now calculate the prime factors of 45864 and 45877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45864 and 45877.

How to find the GCF of 45864 and 45877?

We will first find the prime factorization of 45864 and 45877. After we will calculate the factors of 45864 and 45877 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 45877

Prime factors of 45877 are 13, 3529. Prime factorization of 45877 in exponential form is:

45877 = 13¹ × 3529¹

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 45877

List of positive integer factors of 45877 that divides 45864 without a remainder.

1, 13, 3529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45864 and 45877. The biggest common factor number is the GCF number.
So the greatest common factor 45864 and 45877 is 13.

Also check out the Least Common Multiple of 45864 and 45877