What is the Greatest Common Factor of 5138 and 5143?

Greatest common factor (GCF) of 5138 and 5143 is 1.

GCF(5138,5143) = 1

We will now calculate the prime factors of 5138 and 5143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5138 and 5143.

How to find the GCF of 5138 and 5143?

We will first find the prime factorization of 5138 and 5143. After we will calculate the factors of 5138 and 5143 and find the biggest common factor number .

Step-1: Prime Factorization of 5138

Prime factors of 5138 are 2, 7, 367. Prime factorization of 5138 in exponential form is:

5138 = 2¹ × 7¹ × 367¹

Step-2: Prime Factorization of 5143

Prime factors of 5143 are 37, 139. Prime factorization of 5143 in exponential form is:

5143 = 37¹ × 139¹

Step-3: Factors of 5138

List of positive integer factors of 5138 that divides 5138 without a remainder.

1, 2, 7, 14, 367, 734, 2569

Step-4: Factors of 5143

List of positive integer factors of 5143 that divides 5138 without a remainder.

1, 37, 139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5138 and 5143. The biggest common factor number is the GCF number.
So the greatest common factor 5138 and 5143 is 1.

Also check out the Least Common Multiple of 5138 and 5143