Greatest Common Factor of 1374 and 1380

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 1374, 1380 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1374 and 1380 is 6.

GCF(1374,1380) = 6

GCF of 1374 and 1380

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

GCF of:
and

Greatest Common Factor of 1374 and 1380

GCF of 1374 and 1380 is 6

Prime Factorization of 1374


2 1374
3 687
229 229
1

Prime factors of 1374 are 2,3,229. Prime factorization of 1374 in exponential form is:

1374 = 21×31×2291

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

∴ So by taking common prime factors GCF of 1374 and 1380 is 6

Greatest Common Factor of 1374 and 1380 by matching factors method

Factors of 1374

List of positive integer factors of 1374 that divides 1374 without a remainder.

1,2,3,6,229,458,687,1374

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

Greatest Common Factor

We found the factors and prime factorization of 1374 and 1380. The biggest common factor number is the GCF number.
So the greatest common factor 1374 and 1380 is 6.

Also check out the Least Common Multiple of 1374 and 1380

Properties of GCF 1374 and 1380

(i) The GCF of 1374 and 1380 is associative

GCF of 1374 and 1380 = GCF of 1380 and 1374

Related Greatest Common Factor of 1374

Related Greatest Common Factor of 1380

Frequently Asked Questions on GCF of 1374 and 1380

1. What is the GCF of 1374 and 1380?

Answer: GCF of 1374 and 1380 is 6.

2. What are the Factors of 1374?

Answer: Factors of 1374 are 1, 2, 3, 6, 229, 458, 687, 1374. There are 8 integers that are factors of 1374. The greatest factor of 1374 is 1374.

3. 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.

4. How to Find the GCF of 1374 and 1380?

Answer:

Greatest Common Factor of 1374 and 1380 = 6

Step 1: Find the prime factorization of 1374

1374 = 2 x 3 x 229

Step 2: Find the prime factorization of 1380

1380 = 2 x 2 x 3 x 5 x 23

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 1374 and 1380 is 6