Greatest Common Factor of 13374 and 13380

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 13374, 13380 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13374 and 13380 is 6.

GCF(13374,13380) = 6

GCF of 13374 and 13380

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

GCF of:
and

Greatest Common Factor of 13374 and 13380

GCF of 13374 and 13380 is 6

Prime Factorization of 13374


2 13374
3 6687
3 2229
743 743
1

Prime factors of 13374 are 2,3,743. Prime factorization of 13374 in exponential form is:

13374 = 21×32×7431

Prime Factorization of 13380


2 13380
2 6690
3 3345
5 1115
223 223
1

Prime factors of 13380 are 2,3,5,223. Prime factorization of 13380 in exponential form is:

13380 = 22×31×51×2231

∴ So by taking common prime factors GCF of 13374 and 13380 is 6

Greatest Common Factor of 13374 and 13380 by matching factors method

Factors of 13374

List of positive integer factors of 13374 that divides 13374 without a remainder.

1,2,3,6,9,18,743,1486,2229,4458,6687,13374

Factors of 13380

List of positive integer factors of 13380 that divides 13380 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,223,446,669,892,1115,1338,2230,2676,3345,4460,6690,13380

Greatest Common Factor

We found the factors and prime factorization of 13374 and 13380. The biggest common factor number is the GCF number.
So the greatest common factor 13374 and 13380 is 6.

Also check out the Least Common Multiple of 13374 and 13380

Properties of GCF 13374 and 13380

(i) The GCF of 13374 and 13380 is associative

GCF of 13374 and 13380 = GCF of 13380 and 13374

Related Greatest Common Factor of 13374

Related Greatest Common Factor of 13380

Frequently Asked Questions on GCF of 13374 and 13380

1. What is the GCF of 13374 and 13380?

Answer: GCF of 13374 and 13380 is 6.

2. What are the Factors of 13374?

Answer: Factors of 13374 are 1, 2, 3, 6, 9, 18, 743, 1486, 2229, 4458, 6687, 13374. There are 12 integers that are factors of 13374. The greatest factor of 13374 is 13374.

3. What are the Factors of 13380?

Answer: Factors of 13380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 223, 446, 669, 892, 1115, 1338, 2230, 2676, 3345, 4460, 6690, 13380. There are 24 integers that are factors of 13380. The greatest factor of 13380 is 13380.

4. How to Find the GCF of 13374 and 13380?

Answer:

Greatest Common Factor of 13374 and 13380 = 6

Step 1: Find the prime factorization of 13374

13374 = 2 x 3 x 3 x 743

Step 2: Find the prime factorization of 13380

13380 = 2 x 2 x 3 x 5 x 223

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 13374 and 13380 is 6