What is the Greatest Common Factor of 48680 and 48698?

Greatest common factor (GCF) of 48680 and 48698 is 2.

GCF(48680,48698) = 2

We will now calculate the prime factors of 48680 and 48698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48680 and 48698.

How to find the GCF of 48680 and 48698?

We will first find the prime factorization of 48680 and 48698. After we will calculate the factors of 48680 and 48698 and find the biggest common factor number .

Step-1: Prime Factorization of 48680

Prime factors of 48680 are 2, 5, 1217. Prime factorization of 48680 in exponential form is:

48680 = 2³ × 5¹ × 1217¹

Step-2: Prime Factorization of 48698

Prime factors of 48698 are 2, 13, 1873. Prime factorization of 48698 in exponential form is:

48698 = 2¹ × 13¹ × 1873¹

Step-3: Factors of 48680

List of positive integer factors of 48680 that divides 48680 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1217, 2434, 4868, 6085, 9736, 12170, 24340

Step-4: Factors of 48698

List of positive integer factors of 48698 that divides 48680 without a remainder.

1, 2, 13, 26, 1873, 3746, 24349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48680 and 48698. The biggest common factor number is the GCF number.
So the greatest common factor 48680 and 48698 is 2.

Also check out the Least Common Multiple of 48680 and 48698