What is the Greatest Common Factor of 41335 and 41355?

Greatest common factor (GCF) of 41335 and 41355 is 5.

GCF(41335,41355) = 5

We will now calculate the prime factors of 41335 and 41355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41335 and 41355.

How to find the GCF of 41335 and 41355?

We will first find the prime factorization of 41335 and 41355. After we will calculate the factors of 41335 and 41355 and find the biggest common factor number .

Step-1: Prime Factorization of 41335

Prime factors of 41335 are 5, 7, 1181. Prime factorization of 41335 in exponential form is:

41335 = 5¹ × 7¹ × 1181¹

Step-2: 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-3: Factors of 41335

List of positive integer factors of 41335 that divides 41335 without a remainder.

1, 5, 7, 35, 1181, 5905, 8267

Step-4: Factors of 41355

List of positive integer factors of 41355 that divides 41335 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41335 and 41355. The biggest common factor number is the GCF number.
So the greatest common factor 41335 and 41355 is 5.

Also check out the Least Common Multiple of 41335 and 41355