What is the Greatest Common Factor of 56805 and 56817?

Greatest common factor (GCF) of 56805 and 56817 is 3.

GCF(56805,56817) = 3

We will now calculate the prime factors of 56805 and 56817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56805 and 56817.

How to find the GCF of 56805 and 56817?

We will first find the prime factorization of 56805 and 56817. After we will calculate the factors of 56805 and 56817 and find the biggest common factor number .

Step-1: Prime Factorization of 56805

Prime factors of 56805 are 3, 5, 7, 541. Prime factorization of 56805 in exponential form is:

56805 = 3¹ × 5¹ × 7¹ × 541¹

Step-2: Prime Factorization of 56817

Prime factors of 56817 are 3, 59, 107. Prime factorization of 56817 in exponential form is:

56817 = 3² × 59¹ × 107¹

Step-3: Factors of 56805

List of positive integer factors of 56805 that divides 56805 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 541, 1623, 2705, 3787, 8115, 11361, 18935

Step-4: Factors of 56817

List of positive integer factors of 56817 that divides 56805 without a remainder.

1, 3, 9, 59, 107, 177, 321, 531, 963, 6313, 18939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56805 and 56817. The biggest common factor number is the GCF number.
So the greatest common factor 56805 and 56817 is 3.

Also check out the Least Common Multiple of 56805 and 56817