What is the Greatest Common Factor of 5138 and 5142?

Greatest common factor (GCF) of 5138 and 5142 is 2.

GCF(5138,5142) = 2

We will now calculate the prime factors of 5138 and 5142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5138 and 5142.

How to find the GCF of 5138 and 5142?

We will first find the prime factorization of 5138 and 5142. After we will calculate the factors of 5138 and 5142 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 5142

Prime factors of 5142 are 2, 3, 857. Prime factorization of 5142 in exponential form is:

5142 = 2¹ × 3¹ × 857¹

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 5142

List of positive integer factors of 5142 that divides 5138 without a remainder.

1, 2, 3, 6, 857, 1714, 2571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5138 and 5142. The biggest common factor number is the GCF number.
So the greatest common factor 5138 and 5142 is 2.

Also check out the Least Common Multiple of 5138 and 5142