What is the Greatest Common Factor of 17465 and 17483?

Greatest common factor (GCF) of 17465 and 17483 is 1.

GCF(17465,17483) = 1

We will now calculate the prime factors of 17465 and 17483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17465 and 17483.

How to find the GCF of 17465 and 17483?

We will first find the prime factorization of 17465 and 17483. After we will calculate the factors of 17465 and 17483 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 17483

Prime factors of 17483 are 17483. Prime factorization of 17483 in exponential form is:

17483 = 17483¹

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 17483

List of positive integer factors of 17483 that divides 17465 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17465 and 17483. The biggest common factor number is the GCF number.
So the greatest common factor 17465 and 17483 is 1.

Also check out the Least Common Multiple of 17465 and 17483