What is the Greatest Common Factor of 56805 and 56825?

Greatest common factor (GCF) of 56805 and 56825 is 5.

GCF(56805,56825) = 5

We will now calculate the prime factors of 56805 and 56825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56805 and 56825.

How to find the GCF of 56805 and 56825?

We will first find the prime factorization of 56805 and 56825. After we will calculate the factors of 56805 and 56825 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 56825

Prime factors of 56825 are 5, 2273. Prime factorization of 56825 in exponential form is:

56825 = 5² × 2273¹

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 56825

List of positive integer factors of 56825 that divides 56805 without a remainder.

1, 5, 25, 2273, 11365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56805 and 56825. The biggest common factor number is the GCF number.
So the greatest common factor 56805 and 56825 is 5.

Also check out the Least Common Multiple of 56805 and 56825