What is the Greatest Common Factor of 63805 and 63825?

Greatest common factor (GCF) of 63805 and 63825 is 5.

GCF(63805,63825) = 5

We will now calculate the prime factors of 63805 and 63825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63805 and 63825.

How to find the GCF of 63805 and 63825?

We will first find the prime factorization of 63805 and 63825. After we will calculate the factors of 63805 and 63825 and find the biggest common factor number .

Step-1: Prime Factorization of 63805

Prime factors of 63805 are 5, 7, 1823. Prime factorization of 63805 in exponential form is:

63805 = 5¹ × 7¹ × 1823¹

Step-2: Prime Factorization of 63825

Prime factors of 63825 are 3, 5, 23, 37. Prime factorization of 63825 in exponential form is:

63825 = 3¹ × 5² × 23¹ × 37¹

Step-3: Factors of 63805

List of positive integer factors of 63805 that divides 63805 without a remainder.

1, 5, 7, 35, 1823, 9115, 12761

Step-4: Factors of 63825

List of positive integer factors of 63825 that divides 63805 without a remainder.

1, 3, 5, 15, 23, 25, 37, 69, 75, 111, 115, 185, 345, 555, 575, 851, 925, 1725, 2553, 2775, 4255, 12765, 21275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63805 and 63825. The biggest common factor number is the GCF number.
So the greatest common factor 63805 and 63825 is 5.

Also check out the Least Common Multiple of 63805 and 63825