What is the Greatest Common Factor of 49509 and 49517?

Greatest common factor (GCF) of 49509 and 49517 is 1.

GCF(49509,49517) = 1

We will now calculate the prime factors of 49509 and 49517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49509 and 49517.

How to find the GCF of 49509 and 49517?

We will first find the prime factorization of 49509 and 49517. After we will calculate the factors of 49509 and 49517 and find the biggest common factor number .

Step-1: Prime Factorization of 49509

Prime factors of 49509 are 3, 5501. Prime factorization of 49509 in exponential form is:

49509 = 3² × 5501¹

Step-2: Prime Factorization of 49517

Prime factors of 49517 are 13, 293. Prime factorization of 49517 in exponential form is:

49517 = 13² × 293¹

Step-3: Factors of 49509

List of positive integer factors of 49509 that divides 49509 without a remainder.

1, 3, 9, 5501, 16503

Step-4: Factors of 49517

List of positive integer factors of 49517 that divides 49509 without a remainder.

1, 13, 169, 293, 3809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49509 and 49517. The biggest common factor number is the GCF number.
So the greatest common factor 49509 and 49517 is 1.

Also check out the Least Common Multiple of 49509 and 49517