What is the Greatest Common Factor of 27488 and 27497?

Greatest common factor (GCF) of 27488 and 27497 is 1.

GCF(27488,27497) = 1

We will now calculate the prime factors of 27488 and 27497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27488 and 27497.

How to find the GCF of 27488 and 27497?

We will first find the prime factorization of 27488 and 27497. After we will calculate the factors of 27488 and 27497 and find the biggest common factor number .

Step-1: Prime Factorization of 27488

Prime factors of 27488 are 2, 859. Prime factorization of 27488 in exponential form is:

27488 = 2⁵ × 859¹

Step-2: Prime Factorization of 27497

Prime factors of 27497 are 31, 887. Prime factorization of 27497 in exponential form is:

27497 = 31¹ × 887¹

Step-3: Factors of 27488

List of positive integer factors of 27488 that divides 27488 without a remainder.

1, 2, 4, 8, 16, 32, 859, 1718, 3436, 6872, 13744

Step-4: Factors of 27497

List of positive integer factors of 27497 that divides 27488 without a remainder.

1, 31, 887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27488 and 27497. The biggest common factor number is the GCF number.
So the greatest common factor 27488 and 27497 is 1.

Also check out the Least Common Multiple of 27488 and 27497