What is the Greatest Common Factor of 32497 and 32508?

Greatest common factor (GCF) of 32497 and 32508 is 1.

GCF(32497,32508) = 1

We will now calculate the prime factors of 32497 and 32508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32497 and 32508.

How to find the GCF of 32497 and 32508?

We will first find the prime factorization of 32497 and 32508. After we will calculate the factors of 32497 and 32508 and find the biggest common factor number .

Step-1: Prime Factorization of 32497

Prime factors of 32497 are 32497. Prime factorization of 32497 in exponential form is:

32497 = 32497¹

Step-2: Prime Factorization of 32508

Prime factors of 32508 are 2, 3, 7, 43. Prime factorization of 32508 in exponential form is:

32508 = 2² × 3³ × 7¹ × 43¹

Step-3: Factors of 32497

List of positive integer factors of 32497 that divides 32497 without a remainder.

Step-4: Factors of 32508

List of positive integer factors of 32508 that divides 32497 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 43, 54, 63, 84, 86, 108, 126, 129, 172, 189, 252, 258, 301, 378, 387, 516, 602, 756, 774, 903, 1161, 1204, 1548, 1806, 2322, 2709, 3612, 4644, 5418, 8127, 10836, 16254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32497 and 32508. The biggest common factor number is the GCF number.
So the greatest common factor 32497 and 32508 is 1.

Also check out the Least Common Multiple of 32497 and 32508