What is the Greatest Common Factor of 91824 and 91840?

Greatest common factor (GCF) of 91824 and 91840 is 16.

GCF(91824,91840) = 16

We will now calculate the prime factors of 91824 and 91840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91824 and 91840.

How to find the GCF of 91824 and 91840?

We will first find the prime factorization of 91824 and 91840. After we will calculate the factors of 91824 and 91840 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 91840

Prime factors of 91840 are 2, 5, 7, 41. Prime factorization of 91840 in exponential form is:

91840 = 2⁶ × 5¹ × 7¹ × 41¹

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 91840

List of positive integer factors of 91840 that divides 91824 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 41, 56, 64, 70, 80, 82, 112, 140, 160, 164, 205, 224, 280, 287, 320, 328, 410, 448, 560, 574, 656, 820, 1120, 1148, 1312, 1435, 1640, 2240, 2296, 2624, 2870, 3280, 4592, 5740, 6560, 9184, 11480, 13120, 18368, 22960, 45920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91824 and 91840. The biggest common factor number is the GCF number.
So the greatest common factor 91824 and 91840 is 16.

Also check out the Least Common Multiple of 91824 and 91840