What is the Greatest Common Factor of 41355 and 41370?

Greatest common factor (GCF) of 41355 and 41370 is 15.

GCF(41355,41370) = 15

We will now calculate the prime factors of 41355 and 41370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41355 and 41370.

How to find the GCF of 41355 and 41370?

We will first find the prime factorization of 41355 and 41370. After we will calculate the factors of 41355 and 41370 and find the biggest common factor number .

Step-1: Prime Factorization of 41355

Prime factors of 41355 are 3, 5, 919. Prime factorization of 41355 in exponential form is:

41355 = 3² × 5¹ × 919¹

Step-2: Prime Factorization of 41370

Prime factors of 41370 are 2, 3, 5, 7, 197. Prime factorization of 41370 in exponential form is:

41370 = 2¹ × 3¹ × 5¹ × 7¹ × 197¹

Step-3: Factors of 41355

List of positive integer factors of 41355 that divides 41355 without a remainder.

1, 3, 5, 9, 15, 45, 919, 2757, 4595, 8271, 13785

Step-4: Factors of 41370

List of positive integer factors of 41370 that divides 41355 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 197, 210, 394, 591, 985, 1182, 1379, 1970, 2758, 2955, 4137, 5910, 6895, 8274, 13790, 20685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41355 and 41370. The biggest common factor number is the GCF number.
So the greatest common factor 41355 and 41370 is 15.

Also check out the Least Common Multiple of 41355 and 41370