What is the Greatest Common Factor of 1380 and 1396?

Greatest common factor (GCF) of 1380 and 1396 is 4.

GCF(1380,1396) = 4

We will now calculate the prime factors of 1380 and 1396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1380 and 1396.

How to find the GCF of 1380 and 1396?

We will first find the prime factorization of 1380 and 1396. After we will calculate the factors of 1380 and 1396 and find the biggest common factor number .

Step-1: Prime Factorization of 1380

Prime factors of 1380 are 2, 3, 5, 23. Prime factorization of 1380 in exponential form is:

1380 = 2² × 3¹ × 5¹ × 23¹

Step-2: Prime Factorization of 1396

Prime factors of 1396 are 2, 349. Prime factorization of 1396 in exponential form is:

1396 = 2² × 349¹

Step-3: Factors of 1380

List of positive integer factors of 1380 that divides 1380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690

Step-4: Factors of 1396

List of positive integer factors of 1396 that divides 1380 without a remainder.

1, 2, 4, 349, 698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1380 and 1396. The biggest common factor number is the GCF number.
So the greatest common factor 1380 and 1396 is 4.

Also check out the Least Common Multiple of 1380 and 1396