What is the Greatest Common Factor of 5142 and 5156?

Greatest common factor (GCF) of 5142 and 5156 is 2.

GCF(5142,5156) = 2

We will now calculate the prime factors of 5142 and 5156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5142 and 5156.

How to find the GCF of 5142 and 5156?

We will first find the prime factorization of 5142 and 5156. After we will calculate the factors of 5142 and 5156 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5156

Prime factors of 5156 are 2, 1289. Prime factorization of 5156 in exponential form is:

5156 = 2² × 1289¹

Step-3: Factors of 5142

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

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

Step-4: Factors of 5156

List of positive integer factors of 5156 that divides 5142 without a remainder.

1, 2, 4, 1289, 2578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5142 and 5156. The biggest common factor number is the GCF number.
So the greatest common factor 5142 and 5156 is 2.

Also check out the Least Common Multiple of 5142 and 5156