What is the Greatest Common Factor of 27430 and 27446?

Greatest common factor (GCF) of 27430 and 27446 is 2.

GCF(27430,27446) = 2

We will now calculate the prime factors of 27430 and 27446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27430 and 27446.

How to find the GCF of 27430 and 27446?

We will first find the prime factorization of 27430 and 27446. After we will calculate the factors of 27430 and 27446 and find the biggest common factor number .

Step-1: Prime Factorization of 27430

Prime factors of 27430 are 2, 5, 13, 211. Prime factorization of 27430 in exponential form is:

27430 = 2¹ × 5¹ × 13¹ × 211¹

Step-2: Prime Factorization of 27446

Prime factors of 27446 are 2, 13723. Prime factorization of 27446 in exponential form is:

27446 = 2¹ × 13723¹

Step-3: Factors of 27430

List of positive integer factors of 27430 that divides 27430 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 211, 422, 1055, 2110, 2743, 5486, 13715

Step-4: Factors of 27446

List of positive integer factors of 27446 that divides 27430 without a remainder.

1, 2, 13723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27430 and 27446. The biggest common factor number is the GCF number.
So the greatest common factor 27430 and 27446 is 2.

Also check out the Least Common Multiple of 27430 and 27446