Greatest Common Factor of 13468 and 13476

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 13468, 13476 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13468 and 13476 is 4.

GCF(13468,13476) = 4

GCF of 13468 and 13476

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

GCF of:
and

Greatest Common Factor of 13468 and 13476

GCF of 13468 and 13476 is 4

Prime Factorization of 13468


2 13468
2 6734
7 3367
13 481
37 37
1

Prime factors of 13468 are 2,7,13,37. Prime factorization of 13468 in exponential form is:

13468 = 22×71×131×371

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

∴ So by taking common prime factors GCF of 13468 and 13476 is 4

Greatest Common Factor of 13468 and 13476 by matching factors method

Factors of 13468

List of positive integer factors of 13468 that divides 13468 without a remainder.

1,2,4,7,13,14,26,28,37,52,74,91,148,182,259,364,481,518,962,1036,1924,3367,6734,13468

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

Greatest Common Factor

We found the factors and prime factorization of 13468 and 13476. The biggest common factor number is the GCF number.
So the greatest common factor 13468 and 13476 is 4.

Also check out the Least Common Multiple of 13468 and 13476

Properties of GCF 13468 and 13476

(i) The GCF of 13468 and 13476 is associative

GCF of 13468 and 13476 = GCF of 13476 and 13468

Related Greatest Common Factor of 13468

Related Greatest Common Factor of 13476

Frequently Asked Questions on GCF of 13468 and 13476

1. What is the GCF of 13468 and 13476?

Answer: GCF of 13468 and 13476 is 4.

2. What are the Factors of 13468?

Answer: Factors of 13468 are 1, 2, 4, 7, 13, 14, 26, 28, 37, 52, 74, 91, 148, 182, 259, 364, 481, 518, 962, 1036, 1924, 3367, 6734, 13468. There are 24 integers that are factors of 13468. The greatest factor of 13468 is 13468.

3. 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.

4. How to Find the GCF of 13468 and 13476?

Answer:

Greatest Common Factor of 13468 and 13476 = 4

Step 1: Find the prime factorization of 13468

13468 = 2 x 2 x 7 x 13 x 37

Step 2: Find the prime factorization of 13476

13476 = 2 x 2 x 3 x 1123

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 13468 and 13476 is 4