What is the Greatest Common Factor of 2147 and 2158?

Greatest common factor (GCF) of 2147 and 2158 is 1.

GCF(2147,2158) = 1

We will now calculate the prime factors of 2147 and 2158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2147 and 2158.

How to find the GCF of 2147 and 2158?

We will first find the prime factorization of 2147 and 2158. After we will calculate the factors of 2147 and 2158 and find the biggest common factor number .

Step-1: Prime Factorization of 2147

Prime factors of 2147 are 19, 113. Prime factorization of 2147 in exponential form is:

2147 = 19¹ × 113¹

Step-2: Prime Factorization of 2158

Prime factors of 2158 are 2, 13, 83. Prime factorization of 2158 in exponential form is:

2158 = 2¹ × 13¹ × 83¹

Step-3: Factors of 2147

List of positive integer factors of 2147 that divides 2147 without a remainder.

1, 19, 113

Step-4: Factors of 2158

List of positive integer factors of 2158 that divides 2147 without a remainder.

1, 2, 13, 26, 83, 166, 1079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2147 and 2158. The biggest common factor number is the GCF number.
So the greatest common factor 2147 and 2158 is 1.

Also check out the Least Common Multiple of 2147 and 2158