Greatest Common Factor of 5354 and 5356

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 5354, 5356 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5354 and 5356 is 2.

GCF(5354,5356) = 2

GCF of 5354 and 5356

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

GCF of:
and

Greatest Common Factor of 5354 and 5356

GCF of 5354 and 5356 is 2

Prime Factorization of 5354


2 5354
2677 2677
1

Prime factors of 5354 are 2,2677. Prime factorization of 5354 in exponential form is:

5354 = 21×26771

Prime Factorization of 5356


2 5356
2 2678
13 1339
103 103
1

Prime factors of 5356 are 2,13,103. Prime factorization of 5356 in exponential form is:

5356 = 22×131×1031

∴ So by taking common prime factors GCF of 5354 and 5356 is 2

Greatest Common Factor of 5354 and 5356 by matching factors method

Factors of 5354

List of positive integer factors of 5354 that divides 5354 without a remainder.

1,2,2677,5354

Factors of 5356

List of positive integer factors of 5356 that divides 5356 without a remainder.

1,2,4,13,26,52,103,206,412,1339,2678,5356

Greatest Common Factor

We found the factors and prime factorization of 5354 and 5356. The biggest common factor number is the GCF number.
So the greatest common factor 5354 and 5356 is 2.

Also check out the Least Common Multiple of 5354 and 5356

Properties of GCF 5354 and 5356

(i) The GCF of 5354 and 5356 is associative

GCF of 5354 and 5356 = GCF of 5356 and 5354

Related Greatest Common Factor of 5354

Related Greatest Common Factor of 5356

Frequently Asked Questions on GCF of 5354 and 5356

1. What is the GCF of 5354 and 5356?

Answer: GCF of 5354 and 5356 is 2.

2. What are the Factors of 5354?

Answer: Factors of 5354 are 1, 2, 2677, 5354. There are 4 integers that are factors of 5354. The greatest factor of 5354 is 5354.

3. What are the Factors of 5356?

Answer: Factors of 5356 are 1, 2, 4, 13, 26, 52, 103, 206, 412, 1339, 2678, 5356. There are 12 integers that are factors of 5356. The greatest factor of 5356 is 5356.

4. How to Find the GCF of 5354 and 5356?

Answer:

Greatest Common Factor of 5354 and 5356 = 2

Step 1: Find the prime factorization of 5354

5354 = 2 x 2677

Step 2: Find the prime factorization of 5356

5356 = 2 x 2 x 13 x 103

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

GCF = 2

Step 4: Therefore, the greatest common factor of 5354 and 5356 is 2