What is the Greatest Common Factor of 1344 and 1349?

Greatest common factor (GCF) of 1344 and 1349 is 1.

GCF(1344,1349) = 1

We will now calculate the prime factors of 1344 and 1349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1344 and 1349.

How to find the GCF of 1344 and 1349?

We will first find the prime factorization of 1344 and 1349. After we will calculate the factors of 1344 and 1349 and find the biggest common factor number .

Step-1: Prime Factorization of 1344

Prime factors of 1344 are 2, 3, 7. Prime factorization of 1344 in exponential form is:

1344 = 2⁶ × 3¹ × 7¹

Step-2: Prime Factorization of 1349

Prime factors of 1349 are 19, 71. Prime factorization of 1349 in exponential form is:

1349 = 19¹ × 71¹

Step-3: Factors of 1344

List of positive integer factors of 1344 that divides 1344 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672

Step-4: Factors of 1349

List of positive integer factors of 1349 that divides 1344 without a remainder.

1, 19, 71

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1344 and 1349. The biggest common factor number is the GCF number.
So the greatest common factor 1344 and 1349 is 1.

Also check out the Least Common Multiple of 1344 and 1349