Greatest Common Factor of 26424 and 26429

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 26424, 26429 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 26424 and 26429 is 1.

GCF(26424,26429) = 1

GCF of 26424 and 26429

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

GCF of:
and

Greatest Common Factor of 26424 and 26429

GCF of 26424 and 26429 is 1

Prime Factorization of 26424


2 26424
2 13212
2 6606
3 3303
3 1101
367 367
1

Prime factors of 26424 are 2,3,367. Prime factorization of 26424 in exponential form is:

26424 = 23×32×3671

Prime Factorization of 26429


13 26429
19 2033
107 107
1

Prime factors of 26429 are 13,19,107. Prime factorization of 26429 in exponential form is:

26429 = 131×191×1071

∴ So by taking common prime factors GCF of 26424 and 26429 is 1

Greatest Common Factor of 26424 and 26429 by matching factors method

Factors of 26424

List of positive integer factors of 26424 that divides 26424 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,367,734,1101,1468,2202,2936,3303,4404,6606,8808,13212,26424

Factors of 26429

List of positive integer factors of 26429 that divides 26429 without a remainder.

1,13,19,107,247,1391,2033,26429

Greatest Common Factor

We found the factors and prime factorization of 26424 and 26429. The biggest common factor number is the GCF number.
So the greatest common factor 26424 and 26429 is 1.

Also check out the Least Common Multiple of 26424 and 26429

Properties of GCF 26424 and 26429

(i) The GCF of 26424 and 26429 is associative

GCF of 26424 and 26429 = GCF of 26429 and 26424

Related Greatest Common Factor of 26424

Related Greatest Common Factor of 26429

Frequently Asked Questions on GCF of 26424 and 26429

1. What is the GCF of 26424 and 26429?

Answer: GCF of 26424 and 26429 is 1.

2. What are the Factors of 26424?

Answer: Factors of 26424 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 367, 734, 1101, 1468, 2202, 2936, 3303, 4404, 6606, 8808, 13212, 26424. There are 24 integers that are factors of 26424. The greatest factor of 26424 is 26424.

3. What are the Factors of 26429?

Answer: Factors of 26429 are 1, 13, 19, 107, 247, 1391, 2033, 26429. There are 8 integers that are factors of 26429. The greatest factor of 26429 is 26429.

4. How to Find the GCF of 26424 and 26429?

Answer:

Greatest Common Factor of 26424 and 26429 = 1

Step 1: Find the prime factorization of 26424

26424 = 2 x 2 x 2 x 3 x 3 x 367

Step 2: Find the prime factorization of 26429

26429 = 13 x 19 x 107

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 26424 and 26429 is 1