What is the Greatest Common Factor of 45916 and 45929?

Greatest common factor (GCF) of 45916 and 45929 is 13.

GCF(45916,45929) = 13

We will now calculate the prime factors of 45916 and 45929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45916 and 45929.

How to find the GCF of 45916 and 45929?

We will first find the prime factorization of 45916 and 45929. After we will calculate the factors of 45916 and 45929 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45929

Prime factors of 45929 are 13, 3533. Prime factorization of 45929 in exponential form is:

45929 = 13¹ × 3533¹

Step-3: Factors of 45916

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

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

Step-4: Factors of 45929

List of positive integer factors of 45929 that divides 45916 without a remainder.

1, 13, 3533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45916 and 45929. The biggest common factor number is the GCF number.
So the greatest common factor 45916 and 45929 is 13.

Also check out the Least Common Multiple of 45916 and 45929