What is the Greatest Common Factor of 1377 and 1383?

Greatest common factor (GCF) of 1377 and 1383 is 3.

GCF(1377,1383) = 3

We will now calculate the prime factors of 1377 and 1383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1377 and 1383.

How to find the GCF of 1377 and 1383?

We will first find the prime factorization of 1377 and 1383. After we will calculate the factors of 1377 and 1383 and find the biggest common factor number .

Step-1: Prime Factorization of 1377

Prime factors of 1377 are 3, 17. Prime factorization of 1377 in exponential form is:

1377 = 3⁴ × 17¹

Step-2: Prime Factorization of 1383

Prime factors of 1383 are 3, 461. Prime factorization of 1383 in exponential form is:

1383 = 3¹ × 461¹

Step-3: Factors of 1377

List of positive integer factors of 1377 that divides 1377 without a remainder.

1, 3, 9, 17, 27, 51, 81, 153, 459

Step-4: Factors of 1383

List of positive integer factors of 1383 that divides 1377 without a remainder.

1, 3, 461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1377 and 1383. The biggest common factor number is the GCF number.
So the greatest common factor 1377 and 1383 is 3.

Also check out the Least Common Multiple of 1377 and 1383