Greatest Common Factor of 13462 and 13468

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 13462, 13468 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13462 and 13468 is 2.

GCF(13462,13468) = 2

GCF of 13462 and 13468

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

GCF of:
and

Greatest Common Factor of 13462 and 13468

GCF of 13462 and 13468 is 2

Prime Factorization of 13462


2 13462
53 6731
127 127
1

Prime factors of 13462 are 2,53,127. Prime factorization of 13462 in exponential form is:

13462 = 21×531×1271

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

∴ So by taking common prime factors GCF of 13462 and 13468 is 2

Greatest Common Factor of 13462 and 13468 by matching factors method

Factors of 13462

List of positive integer factors of 13462 that divides 13462 without a remainder.

1,2,53,106,127,254,6731,13462

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

Greatest Common Factor

We found the factors and prime factorization of 13462 and 13468. The biggest common factor number is the GCF number.
So the greatest common factor 13462 and 13468 is 2.

Also check out the Least Common Multiple of 13462 and 13468

Properties of GCF 13462 and 13468

(i) The GCF of 13462 and 13468 is associative

GCF of 13462 and 13468 = GCF of 13468 and 13462

Related Greatest Common Factor of 13462

Related Greatest Common Factor of 13468

Frequently Asked Questions on GCF of 13462 and 13468

1. What is the GCF of 13462 and 13468?

Answer: GCF of 13462 and 13468 is 2.

2. What are the Factors of 13462?

Answer: Factors of 13462 are 1, 2, 53, 106, 127, 254, 6731, 13462. There are 8 integers that are factors of 13462. The greatest factor of 13462 is 13462.

3. 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.

4. How to Find the GCF of 13462 and 13468?

Answer:

Greatest Common Factor of 13462 and 13468 = 2

Step 1: Find the prime factorization of 13462

13462 = 2 x 53 x 127

Step 2: Find the prime factorization of 13468

13468 = 2 x 2 x 7 x 13 x 37

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 13462 and 13468 is 2