What is the Greatest Common Factor of 49698 and 49717?

Greatest common factor (GCF) of 49698 and 49717 is 1.

GCF(49698,49717) = 1

We will now calculate the prime factors of 49698 and 49717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49698 and 49717.

How to find the GCF of 49698 and 49717?

We will first find the prime factorization of 49698 and 49717. After we will calculate the factors of 49698 and 49717 and find the biggest common factor number .

Step-1: Prime Factorization of 49698

Prime factors of 49698 are 2, 3, 11, 251. Prime factorization of 49698 in exponential form is:

49698 = 2¹ × 3² × 11¹ × 251¹

Step-2: Prime Factorization of 49717

Prime factors of 49717 are 83, 599. Prime factorization of 49717 in exponential form is:

49717 = 83¹ × 599¹

Step-3: Factors of 49698

List of positive integer factors of 49698 that divides 49698 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 251, 502, 753, 1506, 2259, 2761, 4518, 5522, 8283, 16566, 24849

Step-4: Factors of 49717

List of positive integer factors of 49717 that divides 49698 without a remainder.

1, 83, 599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49698 and 49717. The biggest common factor number is the GCF number.
So the greatest common factor 49698 and 49717 is 1.

Also check out the Least Common Multiple of 49698 and 49717