What is the Greatest Common Factor of 63825 and 63844?

Greatest common factor (GCF) of 63825 and 63844 is 1.

GCF(63825,63844) = 1

We will now calculate the prime factors of 63825 and 63844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63825 and 63844.

How to find the GCF of 63825 and 63844?

We will first find the prime factorization of 63825 and 63844. After we will calculate the factors of 63825 and 63844 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 63844

Prime factors of 63844 are 2, 11, 1451. Prime factorization of 63844 in exponential form is:

63844 = 2² × 11¹ × 1451¹

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 63844

List of positive integer factors of 63844 that divides 63825 without a remainder.

1, 2, 4, 11, 22, 44, 1451, 2902, 5804, 15961, 31922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63825 and 63844. The biggest common factor number is the GCF number.
So the greatest common factor 63825 and 63844 is 1.

Also check out the Least Common Multiple of 63825 and 63844