What is the Greatest Common Factor of 91824 and 91830?

Greatest common factor (GCF) of 91824 and 91830 is 6.

GCF(91824,91830) = 6

We will now calculate the prime factors of 91824 and 91830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91824 and 91830.

How to find the GCF of 91824 and 91830?

We will first find the prime factorization of 91824 and 91830. After we will calculate the factors of 91824 and 91830 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 91830

Prime factors of 91830 are 2, 3, 5, 3061. Prime factorization of 91830 in exponential form is:

91830 = 2¹ × 3¹ × 5¹ × 3061¹

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 91830

List of positive integer factors of 91830 that divides 91824 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3061, 6122, 9183, 15305, 18366, 30610, 45915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91824 and 91830. The biggest common factor number is the GCF number.
So the greatest common factor 91824 and 91830 is 6.

Also check out the Least Common Multiple of 91824 and 91830