What is the Greatest Common Factor of 98924 and 98928?

Greatest common factor (GCF) of 98924 and 98928 is 4.

GCF(98924,98928) = 4

We will now calculate the prime factors of 98924 and 98928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98924 and 98928.

How to find the GCF of 98924 and 98928?

We will first find the prime factorization of 98924 and 98928. After we will calculate the factors of 98924 and 98928 and find the biggest common factor number .

Step-1: Prime Factorization of 98924

Prime factors of 98924 are 2, 7, 3533. Prime factorization of 98924 in exponential form is:

98924 = 2² × 7¹ × 3533¹

Step-2: 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-3: Factors of 98924

List of positive integer factors of 98924 that divides 98924 without a remainder.

1, 2, 4, 7, 14, 28, 3533, 7066, 14132, 24731, 49462

Step-4: Factors of 98928

List of positive integer factors of 98928 that divides 98924 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98924 and 98928. The biggest common factor number is the GCF number.
So the greatest common factor 98924 and 98928 is 4.

Also check out the Least Common Multiple of 98924 and 98928