Greatest Common Factor of 13460 and 13464

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 13460, 13464 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13460 and 13464 is 4.

GCF(13460,13464) = 4

GCF of 13460 and 13464

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

GCF of:
and

Greatest Common Factor of 13460 and 13464

GCF of 13460 and 13464 is 4

Prime Factorization of 13460


2 13460
2 6730
5 3365
673 673
1

Prime factors of 13460 are 2,5,673. Prime factorization of 13460 in exponential form is:

13460 = 22×51×6731

Prime Factorization of 13464


2 13464
2 6732
2 3366
3 1683
3 561
11 187
17 17
1

Prime factors of 13464 are 2,3,11,17. Prime factorization of 13464 in exponential form is:

13464 = 23×32×111×171

∴ So by taking common prime factors GCF of 13460 and 13464 is 4

Greatest Common Factor of 13460 and 13464 by matching factors method

Factors of 13460

List of positive integer factors of 13460 that divides 13460 without a remainder.

1,2,4,5,10,20,673,1346,2692,3365,6730,13460

Factors of 13464

List of positive integer factors of 13464 that divides 13464 without a remainder.

1,2,3,4,6,8,9,11,12,17,18,22,24,33,34,36,44,51,66,68,72,88,99,102,132,136,153,187,198,204,264,306,374,396,408,561,612,748,792,1122,1224,1496,1683,2244,3366,4488,6732,13464

Greatest Common Factor

We found the factors and prime factorization of 13460 and 13464. The biggest common factor number is the GCF number.
So the greatest common factor 13460 and 13464 is 4.

Also check out the Least Common Multiple of 13460 and 13464

Properties of GCF 13460 and 13464

(i) The GCF of 13460 and 13464 is associative

GCF of 13460 and 13464 = GCF of 13464 and 13460

Related Greatest Common Factor of 13460

Related Greatest Common Factor of 13464

Frequently Asked Questions on GCF of 13460 and 13464

1. What is the GCF of 13460 and 13464?

Answer: GCF of 13460 and 13464 is 4.

2. What are the Factors of 13460?

Answer: Factors of 13460 are 1, 2, 4, 5, 10, 20, 673, 1346, 2692, 3365, 6730, 13460. There are 12 integers that are factors of 13460. The greatest factor of 13460 is 13460.

3. What are the Factors of 13464?

Answer: Factors of 13464 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 17, 18, 22, 24, 33, 34, 36, 44, 51, 66, 68, 72, 88, 99, 102, 132, 136, 153, 187, 198, 204, 264, 306, 374, 396, 408, 561, 612, 748, 792, 1122, 1224, 1496, 1683, 2244, 3366, 4488, 6732, 13464. There are 48 integers that are factors of 13464. The greatest factor of 13464 is 13464.

4. How to Find the GCF of 13460 and 13464?

Answer:

Greatest Common Factor of 13460 and 13464 = 4

Step 1: Find the prime factorization of 13460

13460 = 2 x 2 x 5 x 673

Step 2: Find the prime factorization of 13464

13464 = 2 x 2 x 2 x 3 x 3 x 11 x 17

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 13460 and 13464 is 4