What is the Greatest Common Factor of 45167 and 45187?

Greatest common factor (GCF) of 45167 and 45187 is 1.

GCF(45167,45187) = 1

We will now calculate the prime factors of 45167 and 45187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45167 and 45187.

How to find the GCF of 45167 and 45187?

We will first find the prime factorization of 45167 and 45187. After we will calculate the factors of 45167 and 45187 and find the biggest common factor number .

Step-1: Prime Factorization of 45167

Prime factors of 45167 are 31, 47. Prime factorization of 45167 in exponential form is:

45167 = 31² × 47¹

Step-2: Prime Factorization of 45187

Prime factors of 45187 are 73, 619. Prime factorization of 45187 in exponential form is:

45187 = 73¹ × 619¹

Step-3: Factors of 45167

List of positive integer factors of 45167 that divides 45167 without a remainder.

1, 31, 47, 961, 1457

Step-4: Factors of 45187

List of positive integer factors of 45187 that divides 45167 without a remainder.

1, 73, 619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45167 and 45187. The biggest common factor number is the GCF number.
So the greatest common factor 45167 and 45187 is 1.

Also check out the Least Common Multiple of 45167 and 45187