Greatest Common Factor of 5354 and 5358

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, 5358 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5354 and 5358 is 2.

GCF(5354,5358) = 2

GCF of 5354 and 5358

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

GCF of:
and

Greatest Common Factor of 5354 and 5358

GCF of 5354 and 5358 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 5358


2 5358
3 2679
19 893
47 47
1

Prime factors of 5358 are 2,3,19,47. Prime factorization of 5358 in exponential form is:

5358 = 21×31×191×471

∴ So by taking common prime factors GCF of 5354 and 5358 is 2

Greatest Common Factor of 5354 and 5358 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 5358

List of positive integer factors of 5358 that divides 5358 without a remainder.

1,2,3,6,19,38,47,57,94,114,141,282,893,1786,2679,5358

Greatest Common Factor

We found the factors and prime factorization of 5354 and 5358. The biggest common factor number is the GCF number.
So the greatest common factor 5354 and 5358 is 2.

Also check out the Least Common Multiple of 5354 and 5358

Properties of GCF 5354 and 5358

(i) The GCF of 5354 and 5358 is associative

GCF of 5354 and 5358 = GCF of 5358 and 5354

Related Greatest Common Factor of 5354

Related Greatest Common Factor of 5358

Frequently Asked Questions on GCF of 5354 and 5358

1. What is the GCF of 5354 and 5358?

Answer: GCF of 5354 and 5358 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 5358?

Answer: Factors of 5358 are 1, 2, 3, 6, 19, 38, 47, 57, 94, 114, 141, 282, 893, 1786, 2679, 5358. There are 16 integers that are factors of 5358. The greatest factor of 5358 is 5358.

4. How to Find the GCF of 5354 and 5358?

Answer:

Greatest Common Factor of 5354 and 5358 = 2

Step 1: Find the prime factorization of 5354

5354 = 2 x 2677

Step 2: Find the prime factorization of 5358

5358 = 2 x 3 x 19 x 47

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 5358 is 2