What is the Greatest Common Factor of 91824 and 91838?

Greatest common factor (GCF) of 91824 and 91838 is 2.

GCF(91824,91838) = 2

We will now calculate the prime factors of 91824 and 91838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91824 and 91838.

How to find the GCF of 91824 and 91838?

We will first find the prime factorization of 91824 and 91838. After we will calculate the factors of 91824 and 91838 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 91838

Prime factors of 91838 are 2, 47, 977. Prime factorization of 91838 in exponential form is:

91838 = 2¹ × 47¹ × 977¹

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 91838

List of positive integer factors of 91838 that divides 91824 without a remainder.

1, 2, 47, 94, 977, 1954, 45919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91824 and 91838. The biggest common factor number is the GCF number.
So the greatest common factor 91824 and 91838 is 2.

Also check out the Least Common Multiple of 91824 and 91838