Greatest Common Factor of 13476 and 13480

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 13476, 13480 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13476 and 13480 is 4.

GCF(13476,13480) = 4

GCF of 13476 and 13480

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

GCF of:
and

Greatest Common Factor of 13476 and 13480

GCF of 13476 and 13480 is 4

Prime Factorization of 13476


2 13476
2 6738
3 3369
1123 1123
1

Prime factors of 13476 are 2,3,1123. Prime factorization of 13476 in exponential form is:

13476 = 22×31×11231

Prime Factorization of 13480


2 13480
2 6740
2 3370
5 1685
337 337
1

Prime factors of 13480 are 2,5,337. Prime factorization of 13480 in exponential form is:

13480 = 23×51×3371

∴ So by taking common prime factors GCF of 13476 and 13480 is 4

Greatest Common Factor of 13476 and 13480 by matching factors method

Factors of 13476

List of positive integer factors of 13476 that divides 13476 without a remainder.

1,2,3,4,6,12,1123,2246,3369,4492,6738,13476

Factors of 13480

List of positive integer factors of 13480 that divides 13480 without a remainder.

1,2,4,5,8,10,20,40,337,674,1348,1685,2696,3370,6740,13480

Greatest Common Factor

We found the factors and prime factorization of 13476 and 13480. The biggest common factor number is the GCF number.
So the greatest common factor 13476 and 13480 is 4.

Also check out the Least Common Multiple of 13476 and 13480

Properties of GCF 13476 and 13480

(i) The GCF of 13476 and 13480 is associative

GCF of 13476 and 13480 = GCF of 13480 and 13476

Related Greatest Common Factor of 13476

Related Greatest Common Factor of 13480

Frequently Asked Questions on GCF of 13476 and 13480

1. What is the GCF of 13476 and 13480?

Answer: GCF of 13476 and 13480 is 4.

2. What are the Factors of 13476?

Answer: Factors of 13476 are 1, 2, 3, 4, 6, 12, 1123, 2246, 3369, 4492, 6738, 13476. There are 12 integers that are factors of 13476. The greatest factor of 13476 is 13476.

3. What are the Factors of 13480?

Answer: Factors of 13480 are 1, 2, 4, 5, 8, 10, 20, 40, 337, 674, 1348, 1685, 2696, 3370, 6740, 13480. There are 16 integers that are factors of 13480. The greatest factor of 13480 is 13480.

4. How to Find the GCF of 13476 and 13480?

Answer:

Greatest Common Factor of 13476 and 13480 = 4

Step 1: Find the prime factorization of 13476

13476 = 2 x 2 x 3 x 1123

Step 2: Find the prime factorization of 13480

13480 = 2 x 2 x 2 x 5 x 337

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 13476 and 13480 is 4