What is the Greatest Common Factor of 45864 and 45881?

Greatest common factor (GCF) of 45864 and 45881 is 1.

GCF(45864,45881) = 1

We will now calculate the prime factors of 45864 and 45881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45864 and 45881.

How to find the GCF of 45864 and 45881?

We will first find the prime factorization of 45864 and 45881. After we will calculate the factors of 45864 and 45881 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 45881

Prime factors of 45881 are 11, 43, 97. Prime factorization of 45881 in exponential form is:

45881 = 11¹ × 43¹ × 97¹

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 45881

List of positive integer factors of 45881 that divides 45864 without a remainder.

1, 11, 43, 97, 473, 1067, 4171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45864 and 45881. The biggest common factor number is the GCF number.
So the greatest common factor 45864 and 45881 is 1.

Also check out the Least Common Multiple of 45864 and 45881