What is the Greatest Common Factor of 27430 and 27448?

Greatest common factor (GCF) of 27430 and 27448 is 2.

GCF(27430,27448) = 2

We will now calculate the prime factors of 27430 and 27448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27430 and 27448.

How to find the GCF of 27430 and 27448?

We will first find the prime factorization of 27430 and 27448. After we will calculate the factors of 27430 and 27448 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 27448

Prime factors of 27448 are 2, 47, 73. Prime factorization of 27448 in exponential form is:

27448 = 2³ × 47¹ × 73¹

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 27448

List of positive integer factors of 27448 that divides 27430 without a remainder.

1, 2, 4, 8, 47, 73, 94, 146, 188, 292, 376, 584, 3431, 6862, 13724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27430 and 27448. The biggest common factor number is the GCF number.
So the greatest common factor 27430 and 27448 is 2.

Also check out the Least Common Multiple of 27430 and 27448