Greatest Common Factor of 26420 and 26428

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, 26428 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 26420 and 26428 is 4.

GCF(26420,26428) = 4

GCF of 26420 and 26428

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

GCF of:
and

Greatest Common Factor of 26420 and 26428

GCF of 26420 and 26428 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 26428


2 26428
2 13214
6607 6607
1

Prime factors of 26428 are 2,6607. Prime factorization of 26428 in exponential form is:

26428 = 22×66071

∴ So by taking common prime factors GCF of 26420 and 26428 is 4

Greatest Common Factor of 26420 and 26428 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 26428

List of positive integer factors of 26428 that divides 26428 without a remainder.

1,2,4,6607,13214,26428

Greatest Common Factor

We found the factors and prime factorization of 26420 and 26428. The biggest common factor number is the GCF number.
So the greatest common factor 26420 and 26428 is 4.

Also check out the Least Common Multiple of 26420 and 26428

Properties of GCF 26420 and 26428

(i) The GCF of 26420 and 26428 is associative

GCF of 26420 and 26428 = GCF of 26428 and 26420

Related Greatest Common Factor of 26420

Related Greatest Common Factor of 26428

Frequently Asked Questions on GCF of 26420 and 26428

1. What is the GCF of 26420 and 26428?

Answer: GCF of 26420 and 26428 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 26428?

Answer: Factors of 26428 are 1, 2, 4, 6607, 13214, 26428. There are 6 integers that are factors of 26428. The greatest factor of 26428 is 26428.

4. How to Find the GCF of 26420 and 26428?

Answer:

Greatest Common Factor of 26420 and 26428 = 4

Step 1: Find the prime factorization of 26420

26420 = 2 x 2 x 5 x 1321

Step 2: Find the prime factorization of 26428

26428 = 2 x 2 x 6607

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 26428 is 4