What is the Greatest Common Factor of 41097 and 41116?

Greatest common factor (GCF) of 41097 and 41116 is 19.

GCF(41097,41116) = 19

We will now calculate the prime factors of 41097 and 41116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41097 and 41116.

How to find the GCF of 41097 and 41116?

We will first find the prime factorization of 41097 and 41116. After we will calculate the factors of 41097 and 41116 and find the biggest common factor number .

Step-1: Prime Factorization of 41097

Prime factors of 41097 are 3, 7, 19, 103. Prime factorization of 41097 in exponential form is:

41097 = 3¹ × 7¹ × 19¹ × 103¹

Step-2: Prime Factorization of 41116

Prime factors of 41116 are 2, 19, 541. Prime factorization of 41116 in exponential form is:

41116 = 2² × 19¹ × 541¹

Step-3: Factors of 41097

List of positive integer factors of 41097 that divides 41097 without a remainder.

1, 3, 7, 19, 21, 57, 103, 133, 309, 399, 721, 1957, 2163, 5871, 13699

Step-4: Factors of 41116

List of positive integer factors of 41116 that divides 41097 without a remainder.

1, 2, 4, 19, 38, 76, 541, 1082, 2164, 10279, 20558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41097 and 41116. The biggest common factor number is the GCF number.
So the greatest common factor 41097 and 41116 is 19.

Also check out the Least Common Multiple of 41097 and 41116