What is the Greatest Common Factor of 45903 and 45916?

Greatest common factor (GCF) of 45903 and 45916 is 13.

GCF(45903,45916) = 13

We will now calculate the prime factors of 45903 and 45916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45903 and 45916.

How to find the GCF of 45903 and 45916?

We will first find the prime factorization of 45903 and 45916. After we will calculate the factors of 45903 and 45916 and find the biggest common factor number .

Step-1: Prime Factorization of 45903

Prime factors of 45903 are 3, 11, 13, 107. Prime factorization of 45903 in exponential form is:

45903 = 3¹ × 11¹ × 13¹ × 107¹

Step-2: Prime Factorization of 45916

Prime factors of 45916 are 2, 13, 883. Prime factorization of 45916 in exponential form is:

45916 = 2² × 13¹ × 883¹

Step-3: Factors of 45903

List of positive integer factors of 45903 that divides 45903 without a remainder.

1, 3, 11, 13, 33, 39, 107, 143, 321, 429, 1177, 1391, 3531, 4173, 15301

Step-4: Factors of 45916

List of positive integer factors of 45916 that divides 45903 without a remainder.

1, 2, 4, 13, 26, 52, 883, 1766, 3532, 11479, 22958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45903 and 45916. The biggest common factor number is the GCF number.
So the greatest common factor 45903 and 45916 is 13.

Also check out the Least Common Multiple of 45903 and 45916