What is the Greatest Common Factor of 98912 and 98923?

Greatest common factor (GCF) of 98912 and 98923 is 11.

GCF(98912,98923) = 11

We will now calculate the prime factors of 98912 and 98923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98912 and 98923.

How to find the GCF of 98912 and 98923?

We will first find the prime factorization of 98912 and 98923. After we will calculate the factors of 98912 and 98923 and find the biggest common factor number .

Step-1: Prime Factorization of 98912

Prime factors of 98912 are 2, 11, 281. Prime factorization of 98912 in exponential form is:

98912 = 2⁵ × 11¹ × 281¹

Step-2: Prime Factorization of 98923

Prime factors of 98923 are 11, 17, 23. Prime factorization of 98923 in exponential form is:

98923 = 11¹ × 17¹ × 23²

Step-3: Factors of 98912

List of positive integer factors of 98912 that divides 98912 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 281, 352, 562, 1124, 2248, 3091, 4496, 6182, 8992, 12364, 24728, 49456

Step-4: Factors of 98923

List of positive integer factors of 98923 that divides 98912 without a remainder.

1, 11, 17, 23, 187, 253, 391, 529, 4301, 5819, 8993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98912 and 98923. The biggest common factor number is the GCF number.
So the greatest common factor 98912 and 98923 is 11.

Also check out the Least Common Multiple of 98912 and 98923