What is the Greatest Common Factor of 91824 and 91828?

Greatest common factor (GCF) of 91824 and 91828 is 4.

GCF(91824,91828) = 4

We will now calculate the prime factors of 91824 and 91828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91824 and 91828.

How to find the GCF of 91824 and 91828?

We will first find the prime factorization of 91824 and 91828. After we will calculate the factors of 91824 and 91828 and find the biggest common factor number .

Step-1: Prime Factorization of 91824

Prime factors of 91824 are 2, 3, 1913. Prime factorization of 91824 in exponential form is:

91824 = 2⁴ × 3¹ × 1913¹

Step-2: Prime Factorization of 91828

Prime factors of 91828 are 2, 11, 2087. Prime factorization of 91828 in exponential form is:

91828 = 2² × 11¹ × 2087¹

Step-3: Factors of 91824

List of positive integer factors of 91824 that divides 91824 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1913, 3826, 5739, 7652, 11478, 15304, 22956, 30608, 45912

Step-4: Factors of 91828

List of positive integer factors of 91828 that divides 91824 without a remainder.

1, 2, 4, 11, 22, 44, 2087, 4174, 8348, 22957, 45914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91824 and 91828. The biggest common factor number is the GCF number.
So the greatest common factor 91824 and 91828 is 4.

Also check out the Least Common Multiple of 91824 and 91828