Greatest Common Factor of 13419 and 13426

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 13419, 13426 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13419 and 13426 is 7.

GCF(13419,13426) = 7

GCF of 13419 and 13426

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

GCF of:
and

Greatest Common Factor of 13419 and 13426

GCF of 13419 and 13426 is 7

Prime Factorization of 13419


3 13419
3 4473
3 1491
7 497
71 71
1

Prime factors of 13419 are 3,7,71. Prime factorization of 13419 in exponential form is:

13419 = 33×71×711

Prime Factorization of 13426


2 13426
7 6713
7 959
137 137
1

Prime factors of 13426 are 2,7,137. Prime factorization of 13426 in exponential form is:

13426 = 21×72×1371

∴ So by taking common prime factors GCF of 13419 and 13426 is 7

Greatest Common Factor of 13419 and 13426 by matching factors method

Factors of 13419

List of positive integer factors of 13419 that divides 13419 without a remainder.

1,3,7,9,21,27,63,71,189,213,497,639,1491,1917,4473,13419

Factors of 13426

List of positive integer factors of 13426 that divides 13426 without a remainder.

1,2,7,14,49,98,137,274,959,1918,6713,13426

Greatest Common Factor

We found the factors and prime factorization of 13419 and 13426. The biggest common factor number is the GCF number.
So the greatest common factor 13419 and 13426 is 7.

Also check out the Least Common Multiple of 13419 and 13426

Properties of GCF 13419 and 13426

(i) The GCF of 13419 and 13426 is associative

GCF of 13419 and 13426 = GCF of 13426 and 13419

Related Greatest Common Factor of 13419

Related Greatest Common Factor of 13426

Frequently Asked Questions on GCF of 13419 and 13426

1. What is the GCF of 13419 and 13426?

Answer: GCF of 13419 and 13426 is 7.

2. What are the Factors of 13419?

Answer: Factors of 13419 are 1, 3, 7, 9, 21, 27, 63, 71, 189, 213, 497, 639, 1491, 1917, 4473, 13419. There are 16 integers that are factors of 13419. The greatest factor of 13419 is 13419.

3. What are the Factors of 13426?

Answer: Factors of 13426 are 1, 2, 7, 14, 49, 98, 137, 274, 959, 1918, 6713, 13426. There are 12 integers that are factors of 13426. The greatest factor of 13426 is 13426.

4. How to Find the GCF of 13419 and 13426?

Answer:

Greatest Common Factor of 13419 and 13426 = 7

Step 1: Find the prime factorization of 13419

13419 = 3 x 3 x 3 x 7 x 71

Step 2: Find the prime factorization of 13426

13426 = 2 x 7 x 7 x 137

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

GCF = 7

Step 4: Therefore, the greatest common factor of 13419 and 13426 is 7