What is the Greatest Common Factor of 27458 and 27472?

Greatest common factor (GCF) of 27458 and 27472 is 2.

GCF(27458,27472) = 2

We will now calculate the prime factors of 27458 and 27472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27458 and 27472.

How to find the GCF of 27458 and 27472?

We will first find the prime factorization of 27458 and 27472. After we will calculate the factors of 27458 and 27472 and find the biggest common factor number .

Step-1: Prime Factorization of 27458

Prime factors of 27458 are 2, 13729. Prime factorization of 27458 in exponential form is:

27458 = 2¹ × 13729¹

Step-2: Prime Factorization of 27472

Prime factors of 27472 are 2, 17, 101. Prime factorization of 27472 in exponential form is:

27472 = 2⁴ × 17¹ × 101¹

Step-3: Factors of 27458

List of positive integer factors of 27458 that divides 27458 without a remainder.

1, 2, 13729

Step-4: Factors of 27472

List of positive integer factors of 27472 that divides 27458 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 101, 136, 202, 272, 404, 808, 1616, 1717, 3434, 6868, 13736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27458 and 27472. The biggest common factor number is the GCF number.
So the greatest common factor 27458 and 27472 is 2.

Also check out the Least Common Multiple of 27458 and 27472