What is the Greatest Common Factor of 91830 and 91840?

Greatest common factor (GCF) of 91830 and 91840 is 10.

GCF(91830,91840) = 10

We will now calculate the prime factors of 91830 and 91840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91830 and 91840.

How to find the GCF of 91830 and 91840?

We will first find the prime factorization of 91830 and 91840. After we will calculate the factors of 91830 and 91840 and find the biggest common factor number .

Step-1: 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-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 91830

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

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

Step-4: Factors of 91840

List of positive integer factors of 91840 that divides 91830 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 91830 and 91840. The biggest common factor number is the GCF number.
So the greatest common factor 91830 and 91840 is 10.

Also check out the Least Common Multiple of 91830 and 91840