What is the Greatest Common Factor of 17465 and 17474?

Greatest common factor (GCF) of 17465 and 17474 is 1.

GCF(17465,17474) = 1

We will now calculate the prime factors of 17465 and 17474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17465 and 17474.

How to find the GCF of 17465 and 17474?

We will first find the prime factorization of 17465 and 17474. After we will calculate the factors of 17465 and 17474 and find the biggest common factor number .

Step-1: Prime Factorization of 17465

Prime factors of 17465 are 5, 7, 499. Prime factorization of 17465 in exponential form is:

17465 = 5¹ × 7¹ × 499¹

Step-2: Prime Factorization of 17474

Prime factors of 17474 are 2, 8737. Prime factorization of 17474 in exponential form is:

17474 = 2¹ × 8737¹

Step-3: Factors of 17465

List of positive integer factors of 17465 that divides 17465 without a remainder.

1, 5, 7, 35, 499, 2495, 3493

Step-4: Factors of 17474

List of positive integer factors of 17474 that divides 17465 without a remainder.

1, 2, 8737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17465 and 17474. The biggest common factor number is the GCF number.
So the greatest common factor 17465 and 17474 is 1.

Also check out the Least Common Multiple of 17465 and 17474