What is the Greatest Common Factor of 2345 and 2360?

Greatest common factor (GCF) of 2345 and 2360 is 5.

GCF(2345,2360) = 5

We will now calculate the prime factors of 2345 and 2360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2345 and 2360.

How to find the GCF of 2345 and 2360?

We will first find the prime factorization of 2345 and 2360. After we will calculate the factors of 2345 and 2360 and find the biggest common factor number .

Step-1: Prime Factorization of 2345

Prime factors of 2345 are 5, 7, 67. Prime factorization of 2345 in exponential form is:

2345 = 5¹ × 7¹ × 67¹

Step-2: Prime Factorization of 2360

Prime factors of 2360 are 2, 5, 59. Prime factorization of 2360 in exponential form is:

2360 = 2³ × 5¹ × 59¹

Step-3: Factors of 2345

List of positive integer factors of 2345 that divides 2345 without a remainder.

1, 5, 7, 35, 67, 335, 469

Step-4: Factors of 2360

List of positive integer factors of 2360 that divides 2345 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 59, 118, 236, 295, 472, 590, 1180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2345 and 2360. The biggest common factor number is the GCF number.
So the greatest common factor 2345 and 2360 is 5.

Also check out the Least Common Multiple of 2345 and 2360