What is the Greatest Common Factor of 49698 and 49702?

Greatest common factor (GCF) of 49698 and 49702 is 2.

GCF(49698,49702) = 2

We will now calculate the prime factors of 49698 and 49702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49698 and 49702.

How to find the GCF of 49698 and 49702?

We will first find the prime factorization of 49698 and 49702. After we will calculate the factors of 49698 and 49702 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 49702

Prime factors of 49702 are 2, 24851. Prime factorization of 49702 in exponential form is:

49702 = 2¹ × 24851¹

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 49702

List of positive integer factors of 49702 that divides 49698 without a remainder.

1, 2, 24851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49698 and 49702. The biggest common factor number is the GCF number.
So the greatest common factor 49698 and 49702 is 2.

Also check out the Least Common Multiple of 49698 and 49702