What is the Greatest Common Factor of 27497 and 27503?

Greatest common factor (GCF) of 27497 and 27503 is 1.

GCF(27497,27503) = 1

We will now calculate the prime factors of 27497 and 27503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27497 and 27503.

How to find the GCF of 27497 and 27503?

We will first find the prime factorization of 27497 and 27503. After we will calculate the factors of 27497 and 27503 and find the biggest common factor number .

Step-1: Prime Factorization of 27497

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

27497 = 31¹ × 887¹

Step-2: Prime Factorization of 27503

Prime factors of 27503 are 7, 3929. Prime factorization of 27503 in exponential form is:

27503 = 7¹ × 3929¹

Step-3: Factors of 27497

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

1, 31, 887

Step-4: Factors of 27503

List of positive integer factors of 27503 that divides 27497 without a remainder.

1, 7, 3929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27497 and 27503. The biggest common factor number is the GCF number.
So the greatest common factor 27497 and 27503 is 1.

Also check out the Least Common Multiple of 27497 and 27503