What is the Greatest Common Factor of 41325 and 41342?

Greatest common factor (GCF) of 41325 and 41342 is 1.

GCF(41325,41342) = 1

We will now calculate the prime factors of 41325 and 41342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41325 and 41342.

How to find the GCF of 41325 and 41342?

We will first find the prime factorization of 41325 and 41342. After we will calculate the factors of 41325 and 41342 and find the biggest common factor number .

Step-1: Prime Factorization of 41325

Prime factors of 41325 are 3, 5, 19, 29. Prime factorization of 41325 in exponential form is:

41325 = 3¹ × 5² × 19¹ × 29¹

Step-2: Prime Factorization of 41342

Prime factors of 41342 are 2, 7, 2953. Prime factorization of 41342 in exponential form is:

41342 = 2¹ × 7¹ × 2953¹

Step-3: Factors of 41325

List of positive integer factors of 41325 that divides 41325 without a remainder.

1, 3, 5, 15, 19, 25, 29, 57, 75, 87, 95, 145, 285, 435, 475, 551, 725, 1425, 1653, 2175, 2755, 8265, 13775

Step-4: Factors of 41342

List of positive integer factors of 41342 that divides 41325 without a remainder.

1, 2, 7, 14, 2953, 5906, 20671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41325 and 41342. The biggest common factor number is the GCF number.
So the greatest common factor 41325 and 41342 is 1.

Also check out the Least Common Multiple of 41325 and 41342