What is the Greatest Common Factor of 91804 and 91824?

Greatest common factor (GCF) of 91804 and 91824 is 4.

GCF(91804,91824) = 4

We will now calculate the prime factors of 91804 and 91824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91804 and 91824.

How to find the GCF of 91804 and 91824?

We will first find the prime factorization of 91804 and 91824. After we will calculate the factors of 91804 and 91824 and find the biggest common factor number .

Step-1: Prime Factorization of 91804

Prime factors of 91804 are 2, 59, 389. Prime factorization of 91804 in exponential form is:

91804 = 2² × 59¹ × 389¹

Step-2: 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-3: Factors of 91804

List of positive integer factors of 91804 that divides 91804 without a remainder.

1, 2, 4, 59, 118, 236, 389, 778, 1556, 22951, 45902

Step-4: Factors of 91824

List of positive integer factors of 91824 that divides 91804 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91804 and 91824. The biggest common factor number is the GCF number.
So the greatest common factor 91804 and 91824 is 4.

Also check out the Least Common Multiple of 91804 and 91824