What is the Greatest Common Factor of 1330 and 1348?

Greatest common factor (GCF) of 1330 and 1348 is 2.

GCF(1330,1348) = 2

We will now calculate the prime factors of 1330 and 1348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1330 and 1348.

How to find the GCF of 1330 and 1348?

We will first find the prime factorization of 1330 and 1348. After we will calculate the factors of 1330 and 1348 and find the biggest common factor number .

Step-1: Prime Factorization of 1330

Prime factors of 1330 are 2, 5, 7, 19. Prime factorization of 1330 in exponential form is:

1330 = 2¹ × 5¹ × 7¹ × 19¹

Step-2: Prime Factorization of 1348

Prime factors of 1348 are 2, 337. Prime factorization of 1348 in exponential form is:

1348 = 2² × 337¹

Step-3: Factors of 1330

List of positive integer factors of 1330 that divides 1330 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665

Step-4: Factors of 1348

List of positive integer factors of 1348 that divides 1330 without a remainder.

1, 2, 4, 337, 674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1330 and 1348. The biggest common factor number is the GCF number.
So the greatest common factor 1330 and 1348 is 2.

Also check out the Least Common Multiple of 1330 and 1348