What is the Greatest Common Factor of 63825 and 63838?

Greatest common factor (GCF) of 63825 and 63838 is 1.

GCF(63825,63838) = 1

We will now calculate the prime factors of 63825 and 63838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63825 and 63838.

How to find the GCF of 63825 and 63838?

We will first find the prime factorization of 63825 and 63838. After we will calculate the factors of 63825 and 63838 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 63838

Prime factors of 63838 are 2, 59, 541. Prime factorization of 63838 in exponential form is:

63838 = 2¹ × 59¹ × 541¹

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 63838

List of positive integer factors of 63838 that divides 63825 without a remainder.

1, 2, 59, 118, 541, 1082, 31919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63825 and 63838. The biggest common factor number is the GCF number.
So the greatest common factor 63825 and 63838 is 1.

Also check out the Least Common Multiple of 63825 and 63838