Greatest Common Factor of 1380 and 1386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 1380, 1386 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1380 and 1386 is 6.

GCF(1380,1386) = 6

GCF of 1380 and 1386

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 1380 and 1386

GCF of 1380 and 1386 is 6

Prime Factorization of 1380


2 1380
2 690
3 345
5 115
23 23
1

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

1380 = 22×31×51×231

Prime Factorization of 1386


2 1386
3 693
3 231
7 77
11 11
1

Prime factors of 1386 are 2,3,7,11. Prime factorization of 1386 in exponential form is:

1386 = 21×32×71×111

∴ So by taking common prime factors GCF of 1380 and 1386 is 6

Greatest Common Factor of 1380 and 1386 by matching factors method

Factors of 1380

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

1,2,3,4,5,6,10,12,15,20,23,30,46,60,69,92,115,138,230,276,345,460,690,1380

Factors of 1386

List of positive integer factors of 1386 that divides 1386 without a remainder.

1,2,3,6,7,9,11,14,18,21,22,33,42,63,66,77,99,126,154,198,231,462,693,1386

Greatest Common Factor

We found the factors and prime factorization of 1380 and 1386. The biggest common factor number is the GCF number.
So the greatest common factor 1380 and 1386 is 6.

Also check out the Least Common Multiple of 1380 and 1386

Properties of GCF 1380 and 1386

(i) The GCF of 1380 and 1386 is associative

GCF of 1380 and 1386 = GCF of 1386 and 1380

Related Greatest Common Factor of 1380

Related Greatest Common Factor of 1386

Frequently Asked Questions on GCF of 1380 and 1386

1. What is the GCF of 1380 and 1386?

Answer: GCF of 1380 and 1386 is 6.

2. What are the Factors of 1380?

Answer: Factors of 1380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690, 1380. There are 24 integers that are factors of 1380. The greatest factor of 1380 is 1380.

3. What are the Factors of 1386?

Answer: Factors of 1386 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693, 1386. There are 24 integers that are factors of 1386. The greatest factor of 1386 is 1386.

4. How to Find the GCF of 1380 and 1386?

Answer:

Greatest Common Factor of 1380 and 1386 = 6

Step 1: Find the prime factorization of 1380

1380 = 2 x 2 x 3 x 5 x 23

Step 2: Find the prime factorization of 1386

1386 = 2 x 3 x 3 x 7 x 11

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 1380 and 1386 is 6