What is the Greatest Common Factor of 45716 and 45727?

Greatest common factor (GCF) of 45716 and 45727 is 11.

GCF(45716,45727) = 11

We will now calculate the prime factors of 45716 and 45727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45716 and 45727.

How to find the GCF of 45716 and 45727?

We will first find the prime factorization of 45716 and 45727. After we will calculate the factors of 45716 and 45727 and find the biggest common factor number .

Step-1: Prime Factorization of 45716

Prime factors of 45716 are 2, 11, 1039. Prime factorization of 45716 in exponential form is:

45716 = 2² × 11¹ × 1039¹

Step-2: Prime Factorization of 45727

Prime factors of 45727 are 11, 4157. Prime factorization of 45727 in exponential form is:

45727 = 11¹ × 4157¹

Step-3: Factors of 45716

List of positive integer factors of 45716 that divides 45716 without a remainder.

1, 2, 4, 11, 22, 44, 1039, 2078, 4156, 11429, 22858

Step-4: Factors of 45727

List of positive integer factors of 45727 that divides 45716 without a remainder.

1, 11, 4157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45716 and 45727. The biggest common factor number is the GCF number.
So the greatest common factor 45716 and 45727 is 11.

Also check out the Least Common Multiple of 45716 and 45727