What is the Greatest Common Factor of 98838 and 98856?

Greatest common factor (GCF) of 98838 and 98856 is 18.

GCF(98838,98856) = 18

We will now calculate the prime factors of 98838 and 98856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98838 and 98856.

How to find the GCF of 98838 and 98856?

We will first find the prime factorization of 98838 and 98856. After we will calculate the factors of 98838 and 98856 and find the biggest common factor number .

Step-1: Prime Factorization of 98838

Prime factors of 98838 are 2, 3, 17, 19. Prime factorization of 98838 in exponential form is:

98838 = 2¹ × 3² × 17² × 19¹

Step-2: 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-3: Factors of 98838

List of positive integer factors of 98838 that divides 98838 without a remainder.

1, 2, 3, 6, 9, 17, 18, 19, 34, 38, 51, 57, 102, 114, 153, 171, 289, 306, 323, 342, 578, 646, 867, 969, 1734, 1938, 2601, 2907, 5202, 5491, 5814, 10982, 16473, 32946, 49419

Step-4: Factors of 98856

List of positive integer factors of 98856 that divides 98838 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98838 and 98856. The biggest common factor number is the GCF number.
So the greatest common factor 98838 and 98856 is 18.

Also check out the Least Common Multiple of 98838 and 98856