What is the Greatest Common Factor of 98856 and 98874?

Greatest common factor (GCF) of 98856 and 98874 is 18.

GCF(98856,98874) = 18

We will now calculate the prime factors of 98856 and 98874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98856 and 98874.

How to find the GCF of 98856 and 98874?

We will first find the prime factorization of 98856 and 98874. After we will calculate the factors of 98856 and 98874 and find the biggest common factor number .

Step-1: Prime Factorization of 98856

Prime factors of 98856 are 2, 3, 1373. Prime factorization of 98856 in exponential form is:

98856 = 2³ × 3² × 1373¹

Step-2: Prime Factorization of 98874

Prime factors of 98874 are 2, 3, 1831. Prime factorization of 98874 in exponential form is:

98874 = 2¹ × 3³ × 1831¹

Step-3: Factors of 98856

List of positive integer factors of 98856 that divides 98856 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1373, 2746, 4119, 5492, 8238, 10984, 12357, 16476, 24714, 32952, 49428

Step-4: Factors of 98874

List of positive integer factors of 98874 that divides 98856 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1831, 3662, 5493, 10986, 16479, 32958, 49437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98856 and 98874. The biggest common factor number is the GCF number.
So the greatest common factor 98856 and 98874 is 18.

Also check out the Least Common Multiple of 98856 and 98874