What is the Greatest Common Factor of 42825 and 42838?

Greatest common factor (GCF) of 42825 and 42838 is 1.

GCF(42825,42838) = 1

We will now calculate the prime factors of 42825 and 42838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42825 and 42838.

How to find the GCF of 42825 and 42838?

We will first find the prime factorization of 42825 and 42838. After we will calculate the factors of 42825 and 42838 and find the biggest common factor number .

Step-1: Prime Factorization of 42825

Prime factors of 42825 are 3, 5, 571. Prime factorization of 42825 in exponential form is:

42825 = 3¹ × 5² × 571¹

Step-2: Prime Factorization of 42838

Prime factors of 42838 are 2, 21419. Prime factorization of 42838 in exponential form is:

42838 = 2¹ × 21419¹

Step-3: Factors of 42825

List of positive integer factors of 42825 that divides 42825 without a remainder.

1, 3, 5, 15, 25, 75, 571, 1713, 2855, 8565, 14275

Step-4: Factors of 42838

List of positive integer factors of 42838 that divides 42825 without a remainder.

1, 2, 21419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42825 and 42838. The biggest common factor number is the GCF number.
So the greatest common factor 42825 and 42838 is 1.

Also check out the Least Common Multiple of 42825 and 42838