What is the Greatest Common Factor of 91808 and 91820?

Greatest common factor (GCF) of 91808 and 91820 is 4.

GCF(91808,91820) = 4

We will now calculate the prime factors of 91808 and 91820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91808 and 91820.

How to find the GCF of 91808 and 91820?

We will first find the prime factorization of 91808 and 91820. After we will calculate the factors of 91808 and 91820 and find the biggest common factor number .

Step-1: Prime Factorization of 91808

Prime factors of 91808 are 2, 19, 151. Prime factorization of 91808 in exponential form is:

91808 = 2⁵ × 19¹ × 151¹

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 91808

List of positive integer factors of 91808 that divides 91808 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 151, 152, 302, 304, 604, 608, 1208, 2416, 2869, 4832, 5738, 11476, 22952, 45904

Step-4: Factors of 91820

List of positive integer factors of 91820 that divides 91808 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 91808 and 91820. The biggest common factor number is the GCF number.
So the greatest common factor 91808 and 91820 is 4.

Also check out the Least Common Multiple of 91808 and 91820