What is the Greatest Common Factor of 71805 and 71811?

Greatest common factor (GCF) of 71805 and 71811 is 3.

GCF(71805,71811) = 3

We will now calculate the prime factors of 71805 and 71811, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71805 and 71811.

How to find the GCF of 71805 and 71811?

We will first find the prime factorization of 71805 and 71811. After we will calculate the factors of 71805 and 71811 and find the biggest common factor number .

Step-1: Prime Factorization of 71805

Prime factors of 71805 are 3, 5, 4787. Prime factorization of 71805 in exponential form is:

71805 = 3¹ × 5¹ × 4787¹

Step-2: Prime Factorization of 71811

Prime factors of 71811 are 3, 79, 101. Prime factorization of 71811 in exponential form is:

71811 = 3² × 79¹ × 101¹

Step-3: Factors of 71805

List of positive integer factors of 71805 that divides 71805 without a remainder.

1, 3, 5, 15, 4787, 14361, 23935

Step-4: Factors of 71811

List of positive integer factors of 71811 that divides 71805 without a remainder.

1, 3, 9, 79, 101, 237, 303, 711, 909, 7979, 23937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71805 and 71811. The biggest common factor number is the GCF number.
So the greatest common factor 71805 and 71811 is 3.

Also check out the Least Common Multiple of 71805 and 71811