What is the Greatest Common Factor of 98928 and 98934?

Greatest common factor (GCF) of 98928 and 98934 is 6.

GCF(98928,98934) = 6

We will now calculate the prime factors of 98928 and 98934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98928 and 98934.

How to find the GCF of 98928 and 98934?

We will first find the prime factorization of 98928 and 98934. After we will calculate the factors of 98928 and 98934 and find the biggest common factor number .

Step-1: Prime Factorization of 98928

Prime factors of 98928 are 2, 3, 229. Prime factorization of 98928 in exponential form is:

98928 = 2⁴ × 3³ × 229¹

Step-2: Prime Factorization of 98934

Prime factors of 98934 are 2, 3, 11, 1499. Prime factorization of 98934 in exponential form is:

98934 = 2¹ × 3¹ × 11¹ × 1499¹

Step-3: Factors of 98928

List of positive integer factors of 98928 that divides 98928 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 229, 432, 458, 687, 916, 1374, 1832, 2061, 2748, 3664, 4122, 5496, 6183, 8244, 10992, 12366, 16488, 24732, 32976, 49464

Step-4: Factors of 98934

List of positive integer factors of 98934 that divides 98928 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1499, 2998, 4497, 8994, 16489, 32978, 49467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98928 and 98934. The biggest common factor number is the GCF number.
So the greatest common factor 98928 and 98934 is 6.

Also check out the Least Common Multiple of 98928 and 98934