Greatest Common Factor of 13370 and 13376

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 13370, 13376 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13370 and 13376 is 2.

GCF(13370,13376) = 2

GCF of 13370 and 13376

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

GCF of:
and

Greatest Common Factor of 13370 and 13376

GCF of 13370 and 13376 is 2

Prime Factorization of 13370


2 13370
5 6685
7 1337
191 191
1

Prime factors of 13370 are 2,5,7,191. Prime factorization of 13370 in exponential form is:

13370 = 21×51×71×1911

Prime Factorization of 13376


2 13376
2 6688
2 3344
2 1672
2 836
2 418
11 209
19 19
1

Prime factors of 13376 are 2,11,19. Prime factorization of 13376 in exponential form is:

13376 = 26×111×191

∴ So by taking common prime factors GCF of 13370 and 13376 is 2

Greatest Common Factor of 13370 and 13376 by matching factors method

Factors of 13370

List of positive integer factors of 13370 that divides 13370 without a remainder.

1,2,5,7,10,14,35,70,191,382,955,1337,1910,2674,6685,13370

Factors of 13376

List of positive integer factors of 13376 that divides 13376 without a remainder.

1,2,4,8,11,16,19,22,32,38,44,64,76,88,152,176,209,304,352,418,608,704,836,1216,1672,3344,6688,13376

Greatest Common Factor

We found the factors and prime factorization of 13370 and 13376. The biggest common factor number is the GCF number.
So the greatest common factor 13370 and 13376 is 2.

Also check out the Least Common Multiple of 13370 and 13376

Properties of GCF 13370 and 13376

(i) The GCF of 13370 and 13376 is associative

GCF of 13370 and 13376 = GCF of 13376 and 13370

Related Greatest Common Factor of 13370

Related Greatest Common Factor of 13376

Frequently Asked Questions on GCF of 13370 and 13376

1. What is the GCF of 13370 and 13376?

Answer: GCF of 13370 and 13376 is 2.

2. What are the Factors of 13370?

Answer: Factors of 13370 are 1, 2, 5, 7, 10, 14, 35, 70, 191, 382, 955, 1337, 1910, 2674, 6685, 13370. There are 16 integers that are factors of 13370. The greatest factor of 13370 is 13370.

3. What are the Factors of 13376?

Answer: Factors of 13376 are 1, 2, 4, 8, 11, 16, 19, 22, 32, 38, 44, 64, 76, 88, 152, 176, 209, 304, 352, 418, 608, 704, 836, 1216, 1672, 3344, 6688, 13376. There are 28 integers that are factors of 13376. The greatest factor of 13376 is 13376.

4. How to Find the GCF of 13370 and 13376?

Answer:

Greatest Common Factor of 13370 and 13376 = 2

Step 1: Find the prime factorization of 13370

13370 = 2 x 5 x 7 x 191

Step 2: Find the prime factorization of 13376

13376 = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 19

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

GCF = 2

Step 4: Therefore, the greatest common factor of 13370 and 13376 is 2