What is the Greatest Common Factor of 45866 and 45872?

Greatest common factor (GCF) of 45866 and 45872 is 2.

GCF(45866,45872) = 2

We will now calculate the prime factors of 45866 and 45872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45866 and 45872.

How to find the GCF of 45866 and 45872?

We will first find the prime factorization of 45866 and 45872. After we will calculate the factors of 45866 and 45872 and find the biggest common factor number .

Step-1: Prime Factorization of 45866

Prime factors of 45866 are 2, 17, 19, 71. Prime factorization of 45866 in exponential form is:

45866 = 2¹ × 17¹ × 19¹ × 71¹

Step-2: Prime Factorization of 45872

Prime factors of 45872 are 2, 47, 61. Prime factorization of 45872 in exponential form is:

45872 = 2⁴ × 47¹ × 61¹

Step-3: Factors of 45866

List of positive integer factors of 45866 that divides 45866 without a remainder.

1, 2, 17, 19, 34, 38, 71, 142, 323, 646, 1207, 1349, 2414, 2698, 22933

Step-4: Factors of 45872

List of positive integer factors of 45872 that divides 45866 without a remainder.

1, 2, 4, 8, 16, 47, 61, 94, 122, 188, 244, 376, 488, 752, 976, 2867, 5734, 11468, 22936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45866 and 45872. The biggest common factor number is the GCF number.
So the greatest common factor 45866 and 45872 is 2.

Also check out the Least Common Multiple of 45866 and 45872