What is the Greatest Common Factor of 2354 and 2365?

Greatest common factor (GCF) of 2354 and 2365 is 11.

GCF(2354,2365) = 11

We will now calculate the prime factors of 2354 and 2365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2354 and 2365.

How to find the GCF of 2354 and 2365?

We will first find the prime factorization of 2354 and 2365. After we will calculate the factors of 2354 and 2365 and find the biggest common factor number .

Step-1: Prime Factorization of 2354

Prime factors of 2354 are 2, 11, 107. Prime factorization of 2354 in exponential form is:

2354 = 2¹ × 11¹ × 107¹

Step-2: Prime Factorization of 2365

Prime factors of 2365 are 5, 11, 43. Prime factorization of 2365 in exponential form is:

2365 = 5¹ × 11¹ × 43¹

Step-3: Factors of 2354

List of positive integer factors of 2354 that divides 2354 without a remainder.

1, 2, 11, 22, 107, 214, 1177

Step-4: Factors of 2365

List of positive integer factors of 2365 that divides 2354 without a remainder.

1, 5, 11, 43, 55, 215, 473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2354 and 2365. The biggest common factor number is the GCF number.
So the greatest common factor 2354 and 2365 is 11.

Also check out the Least Common Multiple of 2354 and 2365