What is the Greatest Common Factor of 45912 and 45916?

Greatest common factor (GCF) of 45912 and 45916 is 4.

GCF(45912,45916) = 4

We will now calculate the prime factors of 45912 and 45916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45912 and 45916.

How to find the GCF of 45912 and 45916?

We will first find the prime factorization of 45912 and 45916. After we will calculate the factors of 45912 and 45916 and find the biggest common factor number .

Step-1: Prime Factorization of 45912

Prime factors of 45912 are 2, 3, 1913. Prime factorization of 45912 in exponential form is:

45912 = 2³ × 3¹ × 1913¹

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 45912

List of positive integer factors of 45912 that divides 45912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1913, 3826, 5739, 7652, 11478, 15304, 22956

Step-4: Factors of 45916

List of positive integer factors of 45916 that divides 45912 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 45912 and 45916. The biggest common factor number is the GCF number.
So the greatest common factor 45912 and 45916 is 4.

Also check out the Least Common Multiple of 45912 and 45916