What is the Greatest Common Factor of 18137 and 18151?

Greatest common factor (GCF) of 18137 and 18151 is 7.

GCF(18137,18151) = 7

We will now calculate the prime factors of 18137 and 18151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18137 and 18151.

How to find the GCF of 18137 and 18151?

We will first find the prime factorization of 18137 and 18151. After we will calculate the factors of 18137 and 18151 and find the biggest common factor number .

Step-1: Prime Factorization of 18137

Prime factors of 18137 are 7, 2591. Prime factorization of 18137 in exponential form is:

18137 = 7¹ × 2591¹

Step-2: Prime Factorization of 18151

Prime factors of 18151 are 7, 2593. Prime factorization of 18151 in exponential form is:

18151 = 7¹ × 2593¹

Step-3: Factors of 18137

List of positive integer factors of 18137 that divides 18137 without a remainder.

1, 7, 2591

Step-4: Factors of 18151

List of positive integer factors of 18151 that divides 18137 without a remainder.

1, 7, 2593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18137 and 18151. The biggest common factor number is the GCF number.
So the greatest common factor 18137 and 18151 is 7.

Also check out the Least Common Multiple of 18137 and 18151