What is the Greatest Common Factor of 8497 and 8502?

Greatest common factor (GCF) of 8497 and 8502 is 1.

GCF(8497,8502) = 1

We will now calculate the prime factors of 8497 and 8502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8497 and 8502.

How to find the GCF of 8497 and 8502?

We will first find the prime factorization of 8497 and 8502. After we will calculate the factors of 8497 and 8502 and find the biggest common factor number .

Step-1: Prime Factorization of 8497

Prime factors of 8497 are 29, 293. Prime factorization of 8497 in exponential form is:

8497 = 29¹ × 293¹

Step-2: Prime Factorization of 8502

Prime factors of 8502 are 2, 3, 13, 109. Prime factorization of 8502 in exponential form is:

8502 = 2¹ × 3¹ × 13¹ × 109¹

Step-3: Factors of 8497

List of positive integer factors of 8497 that divides 8497 without a remainder.

1, 29, 293

Step-4: Factors of 8502

List of positive integer factors of 8502 that divides 8497 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 109, 218, 327, 654, 1417, 2834, 4251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8497 and 8502. The biggest common factor number is the GCF number.
So the greatest common factor 8497 and 8502 is 1.

Also check out the Least Common Multiple of 8497 and 8502