What is the Greatest Common Factor of 98928 and 98946?

Greatest common factor (GCF) of 98928 and 98946 is 18.

GCF(98928,98946) = 18

We will now calculate the prime factors of 98928 and 98946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98928 and 98946.

How to find the GCF of 98928 and 98946?

We will first find the prime factorization of 98928 and 98946. After we will calculate the factors of 98928 and 98946 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 98946

Prime factors of 98946 are 2, 3, 23, 239. Prime factorization of 98946 in exponential form is:

98946 = 2¹ × 3² × 23¹ × 239¹

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 98946

List of positive integer factors of 98946 that divides 98928 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 239, 414, 478, 717, 1434, 2151, 4302, 5497, 10994, 16491, 32982, 49473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98928 and 98946. The biggest common factor number is the GCF number.
So the greatest common factor 98928 and 98946 is 18.

Also check out the Least Common Multiple of 98928 and 98946