What is the Greatest Common Factor of 1340 and 1345?

Greatest common factor (GCF) of 1340 and 1345 is 5.

GCF(1340,1345) = 5

We will now calculate the prime factors of 1340 and 1345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1340 and 1345.

How to find the GCF of 1340 and 1345?

We will first find the prime factorization of 1340 and 1345. After we will calculate the factors of 1340 and 1345 and find the biggest common factor number .

Step-1: Prime Factorization of 1340

Prime factors of 1340 are 2, 5, 67. Prime factorization of 1340 in exponential form is:

1340 = 2² × 5¹ × 67¹

Step-2: Prime Factorization of 1345

Prime factors of 1345 are 5, 269. Prime factorization of 1345 in exponential form is:

1345 = 5¹ × 269¹

Step-3: Factors of 1340

List of positive integer factors of 1340 that divides 1340 without a remainder.

1, 2, 4, 5, 10, 20, 67, 134, 268, 335, 670

Step-4: Factors of 1345

List of positive integer factors of 1345 that divides 1340 without a remainder.

1, 5, 269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1340 and 1345. The biggest common factor number is the GCF number.
So the greatest common factor 1340 and 1345 is 5.

Also check out the Least Common Multiple of 1340 and 1345