What is the Greatest Common Factor of 43825 and 43838?

Greatest common factor (GCF) of 43825 and 43838 is 1.

GCF(43825,43838) = 1

We will now calculate the prime factors of 43825 and 43838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43825 and 43838.

How to find the GCF of 43825 and 43838?

We will first find the prime factorization of 43825 and 43838. After we will calculate the factors of 43825 and 43838 and find the biggest common factor number .

Step-1: Prime Factorization of 43825

Prime factors of 43825 are 5, 1753. Prime factorization of 43825 in exponential form is:

43825 = 5² × 1753¹

Step-2: Prime Factorization of 43838

Prime factors of 43838 are 2, 23, 953. Prime factorization of 43838 in exponential form is:

43838 = 2¹ × 23¹ × 953¹

Step-3: Factors of 43825

List of positive integer factors of 43825 that divides 43825 without a remainder.

1, 5, 25, 1753, 8765

Step-4: Factors of 43838

List of positive integer factors of 43838 that divides 43825 without a remainder.

1, 2, 23, 46, 953, 1906, 21919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43825 and 43838. The biggest common factor number is the GCF number.
So the greatest common factor 43825 and 43838 is 1.

Also check out the Least Common Multiple of 43825 and 43838