What is the Greatest Common Factor of 49698 and 49713?

Greatest common factor (GCF) of 49698 and 49713 is 3.

GCF(49698,49713) = 3

We will now calculate the prime factors of 49698 and 49713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49698 and 49713.

How to find the GCF of 49698 and 49713?

We will first find the prime factorization of 49698 and 49713. After we will calculate the factors of 49698 and 49713 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 49713

Prime factors of 49713 are 3, 73, 227. Prime factorization of 49713 in exponential form is:

49713 = 3¹ × 73¹ × 227¹

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 49713

List of positive integer factors of 49713 that divides 49698 without a remainder.

1, 3, 73, 219, 227, 681, 16571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49698 and 49713. The biggest common factor number is the GCF number.
So the greatest common factor 49698 and 49713 is 3.

Also check out the Least Common Multiple of 49698 and 49713