What is the Greatest Common Factor of 95325 and 95341?

Greatest common factor (GCF) of 95325 and 95341 is 1.

GCF(95325,95341) = 1

We will now calculate the prime factors of 95325 and 95341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95325 and 95341.

How to find the GCF of 95325 and 95341?

We will first find the prime factorization of 95325 and 95341. After we will calculate the factors of 95325 and 95341 and find the biggest common factor number .

Step-1: Prime Factorization of 95325

Prime factors of 95325 are 3, 5, 31, 41. Prime factorization of 95325 in exponential form is:

95325 = 3¹ × 5² × 31¹ × 41¹

Step-2: Prime Factorization of 95341

Prime factors of 95341 are 67, 1423. Prime factorization of 95341 in exponential form is:

95341 = 67¹ × 1423¹

Step-3: Factors of 95325

List of positive integer factors of 95325 that divides 95325 without a remainder.

1, 3, 5, 15, 25, 31, 41, 75, 93, 123, 155, 205, 465, 615, 775, 1025, 1271, 2325, 3075, 3813, 6355, 19065, 31775

Step-4: Factors of 95341

List of positive integer factors of 95341 that divides 95325 without a remainder.

1, 67, 1423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95325 and 95341. The biggest common factor number is the GCF number.
So the greatest common factor 95325 and 95341 is 1.

Also check out the Least Common Multiple of 95325 and 95341