What is the Greatest Common Factor of 1368 and 1380?

Greatest common factor (GCF) of 1368 and 1380 is 12.

GCF(1368,1380) = 12

We will now calculate the prime factors of 1368 and 1380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1368 and 1380.

How to find the GCF of 1368 and 1380?

We will first find the prime factorization of 1368 and 1380. After we will calculate the factors of 1368 and 1380 and find the biggest common factor number .

Step-1: Prime Factorization of 1368

Prime factors of 1368 are 2, 3, 19. Prime factorization of 1368 in exponential form is:

1368 = 2³ × 3² × 19¹

Step-2: 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-3: Factors of 1368

List of positive integer factors of 1368 that divides 1368 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 456, 684

Step-4: Factors of 1380

List of positive integer factors of 1380 that divides 1368 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1368 and 1380. The biggest common factor number is the GCF number.
So the greatest common factor 1368 and 1380 is 12.

Also check out the Least Common Multiple of 1368 and 1380