What is the Greatest Common Factor of 4090 and 4097?

Greatest common factor (GCF) of 4090 and 4097 is 1.

GCF(4090,4097) = 1

We will now calculate the prime factors of 4090 and 4097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4090 and 4097.

How to find the GCF of 4090 and 4097?

We will first find the prime factorization of 4090 and 4097. After we will calculate the factors of 4090 and 4097 and find the biggest common factor number .

Step-1: Prime Factorization of 4090

Prime factors of 4090 are 2, 5, 409. Prime factorization of 4090 in exponential form is:

4090 = 2¹ × 5¹ × 409¹

Step-2: Prime Factorization of 4097

Prime factors of 4097 are 17, 241. Prime factorization of 4097 in exponential form is:

4097 = 17¹ × 241¹

Step-3: Factors of 4090

List of positive integer factors of 4090 that divides 4090 without a remainder.

1, 2, 5, 10, 409, 818, 2045

Step-4: Factors of 4097

List of positive integer factors of 4097 that divides 4090 without a remainder.

1, 17, 241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4090 and 4097. The biggest common factor number is the GCF number.
So the greatest common factor 4090 and 4097 is 1.

Also check out the Least Common Multiple of 4090 and 4097