What is the Greatest Common Factor of 5412 and 5426?

Greatest common factor (GCF) of 5412 and 5426 is 2.

GCF(5412,5426) = 2

We will now calculate the prime factors of 5412 and 5426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5412 and 5426.

How to find the GCF of 5412 and 5426?

We will first find the prime factorization of 5412 and 5426. After we will calculate the factors of 5412 and 5426 and find the biggest common factor number .

Step-1: Prime Factorization of 5412

Prime factors of 5412 are 2, 3, 11, 41. Prime factorization of 5412 in exponential form is:

5412 = 2² × 3¹ × 11¹ × 41¹

Step-2: Prime Factorization of 5426

Prime factors of 5426 are 2, 2713. Prime factorization of 5426 in exponential form is:

5426 = 2¹ × 2713¹

Step-3: Factors of 5412

List of positive integer factors of 5412 that divides 5412 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 41, 44, 66, 82, 123, 132, 164, 246, 451, 492, 902, 1353, 1804, 2706

Step-4: Factors of 5426

List of positive integer factors of 5426 that divides 5412 without a remainder.

1, 2, 2713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5412 and 5426. The biggest common factor number is the GCF number.
So the greatest common factor 5412 and 5426 is 2.

Also check out the Least Common Multiple of 5412 and 5426