What is the Greatest Common Factor of 5112 and 5126?

Greatest common factor (GCF) of 5112 and 5126 is 2.

GCF(5112,5126) = 2

We will now calculate the prime factors of 5112 and 5126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5112 and 5126.

How to find the GCF of 5112 and 5126?

We will first find the prime factorization of 5112 and 5126. After we will calculate the factors of 5112 and 5126 and find the biggest common factor number .

Step-1: Prime Factorization of 5112

Prime factors of 5112 are 2, 3, 71. Prime factorization of 5112 in exponential form is:

5112 = 2³ × 3² × 71¹

Step-2: Prime Factorization of 5126

Prime factors of 5126 are 2, 11, 233. Prime factorization of 5126 in exponential form is:

5126 = 2¹ × 11¹ × 233¹

Step-3: Factors of 5112

List of positive integer factors of 5112 that divides 5112 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 71, 72, 142, 213, 284, 426, 568, 639, 852, 1278, 1704, 2556

Step-4: Factors of 5126

List of positive integer factors of 5126 that divides 5112 without a remainder.

1, 2, 11, 22, 233, 466, 2563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5112 and 5126. The biggest common factor number is the GCF number.
So the greatest common factor 5112 and 5126 is 2.

Also check out the Least Common Multiple of 5112 and 5126