Greatest Common Factor of 13462 and 13469

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, 13469 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13462 and 13469 is 1.

GCF(13462,13469) = 1

GCF of 13462 and 13469

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

GCF of:
and

Greatest Common Factor of 13462 and 13469

GCF of 13462 and 13469 is 1

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 13469


13469 13469
1

Prime factors of 13469 are 13469. Prime factorization of 13469 in exponential form is:

13469 = 134691

∴ So by taking common prime factors GCF of 13462 and 13469 is 1

Greatest Common Factor of 13462 and 13469 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 13469

List of positive integer factors of 13469 that divides 13469 without a remainder.

1,13469

Greatest Common Factor

We found the factors and prime factorization of 13462 and 13469. The biggest common factor number is the GCF number.
So the greatest common factor 13462 and 13469 is 1.

Also check out the Least Common Multiple of 13462 and 13469

Properties of GCF 13462 and 13469

(i) The GCF of 13462 and 13469 is associative

GCF of 13462 and 13469 = GCF of 13469 and 13462

Frequently Asked Questions on GCF of 13462 and 13469

1. What is the GCF of 13462 and 13469?

Answer: GCF of 13462 and 13469 is 1.

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 13469?

Answer: Factors of 13469 are 1, 13469. There are 2 integers that are factors of 13469. The greatest factor of 13469 is 13469.

4. How to Find the GCF of 13462 and 13469?

Answer:

Greatest Common Factor of 13462 and 13469 = 1

Step 1: Find the prime factorization of 13462

13462 = 2 x 53 x 127

Step 2: Find the prime factorization of 13469

13469 = 13469

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 13462 and 13469 is 1