What is the Greatest Common Factor of 98912 and 98932?

Greatest common factor (GCF) of 98912 and 98932 is 4.

GCF(98912,98932) = 4

We will now calculate the prime factors of 98912 and 98932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98912 and 98932.

How to find the GCF of 98912 and 98932?

We will first find the prime factorization of 98912 and 98932. After we will calculate the factors of 98912 and 98932 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 98932

Prime factors of 98932 are 2, 24733. Prime factorization of 98932 in exponential form is:

98932 = 2² × 24733¹

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 98932

List of positive integer factors of 98932 that divides 98912 without a remainder.

1, 2, 4, 24733, 49466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98912 and 98932. The biggest common factor number is the GCF number.
So the greatest common factor 98912 and 98932 is 4.

Also check out the Least Common Multiple of 98912 and 98932