What is the Greatest Common Factor of 98824 and 98832?

Greatest common factor (GCF) of 98824 and 98832 is 8.

GCF(98824,98832) = 8

We will now calculate the prime factors of 98824 and 98832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98824 and 98832.

How to find the GCF of 98824 and 98832?

We will first find the prime factorization of 98824 and 98832. After we will calculate the factors of 98824 and 98832 and find the biggest common factor number .

Step-1: Prime Factorization of 98824

Prime factors of 98824 are 2, 11, 1123. Prime factorization of 98824 in exponential form is:

98824 = 2³ × 11¹ × 1123¹

Step-2: Prime Factorization of 98832

Prime factors of 98832 are 2, 3, 29, 71. Prime factorization of 98832 in exponential form is:

98832 = 2⁴ × 3¹ × 29¹ × 71¹

Step-3: Factors of 98824

List of positive integer factors of 98824 that divides 98824 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 1123, 2246, 4492, 8984, 12353, 24706, 49412

Step-4: Factors of 98832

List of positive integer factors of 98832 that divides 98824 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 71, 87, 116, 142, 174, 213, 232, 284, 348, 426, 464, 568, 696, 852, 1136, 1392, 1704, 2059, 3408, 4118, 6177, 8236, 12354, 16472, 24708, 32944, 49416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98824 and 98832. The biggest common factor number is the GCF number.
So the greatest common factor 98824 and 98832 is 8.

Also check out the Least Common Multiple of 98824 and 98832