What is the Greatest Common Factor of 41090 and 41097?

Greatest common factor (GCF) of 41090 and 41097 is 7.

GCF(41090,41097) = 7

We will now calculate the prime factors of 41090 and 41097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41090 and 41097.

How to find the GCF of 41090 and 41097?

We will first find the prime factorization of 41090 and 41097. After we will calculate the factors of 41090 and 41097 and find the biggest common factor number .

Step-1: Prime Factorization of 41090

Prime factors of 41090 are 2, 5, 7, 587. Prime factorization of 41090 in exponential form is:

41090 = 2¹ × 5¹ × 7¹ × 587¹

Step-2: 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-3: Factors of 41090

List of positive integer factors of 41090 that divides 41090 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 587, 1174, 2935, 4109, 5870, 8218, 20545

Step-4: Factors of 41097

List of positive integer factors of 41097 that divides 41090 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41090 and 41097. The biggest common factor number is the GCF number.
So the greatest common factor 41090 and 41097 is 7.

Also check out the Least Common Multiple of 41090 and 41097