What is the Greatest Common Factor of 42825 and 42841?

Greatest common factor (GCF) of 42825 and 42841 is 1.

GCF(42825,42841) = 1

We will now calculate the prime factors of 42825 and 42841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42825 and 42841.

How to find the GCF of 42825 and 42841?

We will first find the prime factorization of 42825 and 42841. After we will calculate the factors of 42825 and 42841 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 42841

Prime factors of 42841 are 42841. Prime factorization of 42841 in exponential form is:

42841 = 42841¹

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 42841

List of positive integer factors of 42841 that divides 42825 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42825 and 42841. The biggest common factor number is the GCF number.
So the greatest common factor 42825 and 42841 is 1.

Also check out the Least Common Multiple of 42825 and 42841