What is the Greatest Common Factor of 49680 and 49698?

Greatest common factor (GCF) of 49680 and 49698 is 18.

GCF(49680,49698) = 18

We will now calculate the prime factors of 49680 and 49698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49680 and 49698.

How to find the GCF of 49680 and 49698?

We will first find the prime factorization of 49680 and 49698. After we will calculate the factors of 49680 and 49698 and find the biggest common factor number .

Step-1: Prime Factorization of 49680

Prime factors of 49680 are 2, 3, 5, 23. Prime factorization of 49680 in exponential form is:

49680 = 2⁴ × 3³ × 5¹ × 23¹

Step-2: 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-3: Factors of 49680

List of positive integer factors of 49680 that divides 49680 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 23, 24, 27, 30, 36, 40, 45, 46, 48, 54, 60, 69, 72, 80, 90, 92, 108, 115, 120, 135, 138, 144, 180, 184, 207, 216, 230, 240, 270, 276, 345, 360, 368, 414, 432, 460, 540, 552, 621, 690, 720, 828, 920, 1035, 1080, 1104, 1242, 1380, 1656, 1840, 2070, 2160, 2484, 2760, 3105, 3312, 4140, 4968, 5520, 6210, 8280, 9936, 12420, 16560, 24840

Step-4: Factors of 49698

List of positive integer factors of 49698 that divides 49680 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49680 and 49698. The biggest common factor number is the GCF number.
So the greatest common factor 49680 and 49698 is 18.

Also check out the Least Common Multiple of 49680 and 49698