What is the Greatest Common Factor of 91805 and 91820?

Greatest common factor (GCF) of 91805 and 91820 is 5.

GCF(91805,91820) = 5

We will now calculate the prime factors of 91805 and 91820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91805 and 91820.

How to find the GCF of 91805 and 91820?

We will first find the prime factorization of 91805 and 91820. After we will calculate the factors of 91805 and 91820 and find the biggest common factor number .

Step-1: Prime Factorization of 91805

Prime factors of 91805 are 5, 7, 43, 61. Prime factorization of 91805 in exponential form is:

91805 = 5¹ × 7¹ × 43¹ × 61¹

Step-2: Prime Factorization of 91820

Prime factors of 91820 are 2, 5, 4591. Prime factorization of 91820 in exponential form is:

91820 = 2² × 5¹ × 4591¹

Step-3: Factors of 91805

List of positive integer factors of 91805 that divides 91805 without a remainder.

1, 5, 7, 35, 43, 61, 215, 301, 305, 427, 1505, 2135, 2623, 13115, 18361

Step-4: Factors of 91820

List of positive integer factors of 91820 that divides 91805 without a remainder.

1, 2, 4, 5, 10, 20, 4591, 9182, 18364, 22955, 45910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91805 and 91820. The biggest common factor number is the GCF number.
So the greatest common factor 91805 and 91820 is 5.

Also check out the Least Common Multiple of 91805 and 91820