What is the Greatest Common Factor of 5142 and 5160?

Greatest common factor (GCF) of 5142 and 5160 is 6.

GCF(5142,5160) = 6

We will now calculate the prime factors of 5142 and 5160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5142 and 5160.

How to find the GCF of 5142 and 5160?

We will first find the prime factorization of 5142 and 5160. After we will calculate the factors of 5142 and 5160 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 5160

Prime factors of 5160 are 2, 3, 5, 43. Prime factorization of 5160 in exponential form is:

5160 = 2³ × 3¹ × 5¹ × 43¹

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 5160

List of positive integer factors of 5160 that divides 5142 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 43, 60, 86, 120, 129, 172, 215, 258, 344, 430, 516, 645, 860, 1032, 1290, 1720, 2580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5142 and 5160. The biggest common factor number is the GCF number.
So the greatest common factor 5142 and 5160 is 6.

Also check out the Least Common Multiple of 5142 and 5160