What is the Greatest Common Factor of 63825 and 63829?

Greatest common factor (GCF) of 63825 and 63829 is 1.

GCF(63825,63829) = 1

We will now calculate the prime factors of 63825 and 63829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63825 and 63829.

How to find the GCF of 63825 and 63829?

We will first find the prime factorization of 63825 and 63829. After we will calculate the factors of 63825 and 63829 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63829

Prime factors of 63829 are 29, 31, 71. Prime factorization of 63829 in exponential form is:

63829 = 29¹ × 31¹ × 71¹

Step-3: Factors of 63825

List of positive integer factors of 63825 that divides 63825 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

Step-4: Factors of 63829

List of positive integer factors of 63829 that divides 63825 without a remainder.

1, 29, 31, 71, 899, 2059, 2201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63825 and 63829. The biggest common factor number is the GCF number.
So the greatest common factor 63825 and 63829 is 1.

Also check out the Least Common Multiple of 63825 and 63829