What is the Greatest Common Factor of 56805 and 56823?

Greatest common factor (GCF) of 56805 and 56823 is 3.

GCF(56805,56823) = 3

We will now calculate the prime factors of 56805 and 56823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56805 and 56823.

How to find the GCF of 56805 and 56823?

We will first find the prime factorization of 56805 and 56823. After we will calculate the factors of 56805 and 56823 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 56823

Prime factors of 56823 are 3, 13, 31, 47. Prime factorization of 56823 in exponential form is:

56823 = 3¹ × 13¹ × 31¹ × 47¹

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 56823

List of positive integer factors of 56823 that divides 56805 without a remainder.

1, 3, 13, 31, 39, 47, 93, 141, 403, 611, 1209, 1457, 1833, 4371, 18941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56805 and 56823. The biggest common factor number is the GCF number.
So the greatest common factor 56805 and 56823 is 3.

Also check out the Least Common Multiple of 56805 and 56823