What is the Greatest Common Factor of 38497 and 38510?

Greatest common factor (GCF) of 38497 and 38510 is 1.

GCF(38497,38510) = 1

We will now calculate the prime factors of 38497 and 38510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38497 and 38510.

How to find the GCF of 38497 and 38510?

We will first find the prime factorization of 38497 and 38510. After we will calculate the factors of 38497 and 38510 and find the biggest common factor number .

Step-1: Prime Factorization of 38497

Prime factors of 38497 are 137, 281. Prime factorization of 38497 in exponential form is:

38497 = 137¹ × 281¹

Step-2: Prime Factorization of 38510

Prime factors of 38510 are 2, 5, 3851. Prime factorization of 38510 in exponential form is:

38510 = 2¹ × 5¹ × 3851¹

Step-3: Factors of 38497

List of positive integer factors of 38497 that divides 38497 without a remainder.

1, 137, 281

Step-4: Factors of 38510

List of positive integer factors of 38510 that divides 38497 without a remainder.

1, 2, 5, 10, 3851, 7702, 19255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38497 and 38510. The biggest common factor number is the GCF number.
So the greatest common factor 38497 and 38510 is 1.

Also check out the Least Common Multiple of 38497 and 38510