What is the Greatest Common Factor of 41909 and 41920?

Greatest common factor (GCF) of 41909 and 41920 is 1.

GCF(41909,41920) = 1

We will now calculate the prime factors of 41909 and 41920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41909 and 41920.

How to find the GCF of 41909 and 41920?

We will first find the prime factorization of 41909 and 41920. After we will calculate the factors of 41909 and 41920 and find the biggest common factor number .

Step-1: Prime Factorization of 41909

Prime factors of 41909 are 7, 5987. Prime factorization of 41909 in exponential form is:

41909 = 7¹ × 5987¹

Step-2: Prime Factorization of 41920

Prime factors of 41920 are 2, 5, 131. Prime factorization of 41920 in exponential form is:

41920 = 2⁶ × 5¹ × 131¹

Step-3: Factors of 41909

List of positive integer factors of 41909 that divides 41909 without a remainder.

1, 7, 5987

Step-4: Factors of 41920

List of positive integer factors of 41920 that divides 41909 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 131, 160, 262, 320, 524, 655, 1048, 1310, 2096, 2620, 4192, 5240, 8384, 10480, 20960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41909 and 41920. The biggest common factor number is the GCF number.
So the greatest common factor 41909 and 41920 is 1.

Also check out the Least Common Multiple of 41909 and 41920