Greatest Common Factor of 26420 and 26424

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 26420, 26424 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 26420 and 26424 is 4.

GCF(26420,26424) = 4

GCF of 26420 and 26424

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

GCF of:
and

Greatest Common Factor of 26420 and 26424

GCF of 26420 and 26424 is 4

Prime Factorization of 26420


2 26420
2 13210
5 6605
1321 1321
1

Prime factors of 26420 are 2,5,1321. Prime factorization of 26420 in exponential form is:

26420 = 22×51×13211

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

∴ So by taking common prime factors GCF of 26420 and 26424 is 4

Greatest Common Factor of 26420 and 26424 by matching factors method

Factors of 26420

List of positive integer factors of 26420 that divides 26420 without a remainder.

1,2,4,5,10,20,1321,2642,5284,6605,13210,26420

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

Greatest Common Factor

We found the factors and prime factorization of 26420 and 26424. The biggest common factor number is the GCF number.
So the greatest common factor 26420 and 26424 is 4.

Also check out the Least Common Multiple of 26420 and 26424

Properties of GCF 26420 and 26424

(i) The GCF of 26420 and 26424 is associative

GCF of 26420 and 26424 = GCF of 26424 and 26420

Related Greatest Common Factor of 26420

Related Greatest Common Factor of 26424

Frequently Asked Questions on GCF of 26420 and 26424

1. What is the GCF of 26420 and 26424?

Answer: GCF of 26420 and 26424 is 4.

2. What are the Factors of 26420?

Answer: Factors of 26420 are 1, 2, 4, 5, 10, 20, 1321, 2642, 5284, 6605, 13210, 26420. There are 12 integers that are factors of 26420. The greatest factor of 26420 is 26420.

3. 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.

4. How to Find the GCF of 26420 and 26424?

Answer:

Greatest Common Factor of 26420 and 26424 = 4

Step 1: Find the prime factorization of 26420

26420 = 2 x 2 x 5 x 1321

Step 2: Find the prime factorization of 26424

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

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 26420 and 26424 is 4