What is the Greatest Common Factor of 9140 and 9157?

Greatest common factor (GCF) of 9140 and 9157 is 1.

GCF(9140,9157) = 1

We will now calculate the prime factors of 9140 and 9157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9140 and 9157.

How to find the GCF of 9140 and 9157?

We will first find the prime factorization of 9140 and 9157. After we will calculate the factors of 9140 and 9157 and find the biggest common factor number .

Step-1: Prime Factorization of 9140

Prime factors of 9140 are 2, 5, 457. Prime factorization of 9140 in exponential form is:

9140 = 2² × 5¹ × 457¹

Step-2: Prime Factorization of 9157

Prime factors of 9157 are 9157. Prime factorization of 9157 in exponential form is:

9157 = 9157¹

Step-3: Factors of 9140

List of positive integer factors of 9140 that divides 9140 without a remainder.

1, 2, 4, 5, 10, 20, 457, 914, 1828, 2285, 4570

Step-4: Factors of 9157

List of positive integer factors of 9157 that divides 9140 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9140 and 9157. The biggest common factor number is the GCF number.
So the greatest common factor 9140 and 9157 is 1.

Also check out the Least Common Multiple of 9140 and 9157