What is the Greatest Common Factor of 43498 and 43517?

Greatest common factor (GCF) of 43498 and 43517 is 1.

GCF(43498,43517) = 1

We will now calculate the prime factors of 43498 and 43517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43498 and 43517.

How to find the GCF of 43498 and 43517?

We will first find the prime factorization of 43498 and 43517. After we will calculate the factors of 43498 and 43517 and find the biggest common factor number .

Step-1: Prime Factorization of 43498

Prime factors of 43498 are 2, 7, 13, 239. Prime factorization of 43498 in exponential form is:

43498 = 2¹ × 7¹ × 13¹ × 239¹

Step-2: Prime Factorization of 43517

Prime factors of 43517 are 43517. Prime factorization of 43517 in exponential form is:

43517 = 43517¹

Step-3: Factors of 43498

List of positive integer factors of 43498 that divides 43498 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 239, 478, 1673, 3107, 3346, 6214, 21749

Step-4: Factors of 43517

List of positive integer factors of 43517 that divides 43498 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43498 and 43517. The biggest common factor number is the GCF number.
So the greatest common factor 43498 and 43517 is 1.

Also check out the Least Common Multiple of 43498 and 43517