What is the Greatest Common Factor of 91824 and 91834?

Greatest common factor (GCF) of 91824 and 91834 is 2.

GCF(91824,91834) = 2

We will now calculate the prime factors of 91824 and 91834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91824 and 91834.

How to find the GCF of 91824 and 91834?

We will first find the prime factorization of 91824 and 91834. After we will calculate the factors of 91824 and 91834 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 91834

Prime factors of 91834 are 2, 17, 37, 73. Prime factorization of 91834 in exponential form is:

91834 = 2¹ × 17¹ × 37¹ × 73¹

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 91834

List of positive integer factors of 91834 that divides 91824 without a remainder.

1, 2, 17, 34, 37, 73, 74, 146, 629, 1241, 1258, 2482, 2701, 5402, 45917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91824 and 91834. The biggest common factor number is the GCF number.
So the greatest common factor 91824 and 91834 is 2.

Also check out the Least Common Multiple of 91824 and 91834