Greatest Common Factor of 5350 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 5350, 5358 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5350 and 5358 is 2.

GCF(5350,5358) = 2

GCF of 5350 and 5358

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

GCF of:
and

Greatest Common Factor of 5350 and 5358

GCF of 5350 and 5358 is 2

Prime Factorization of 5350


2 5350
5 2675
5 535
107 107
1

Prime factors of 5350 are 2,5,107. Prime factorization of 5350 in exponential form is:

5350 = 21×52×1071

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 5350 and 5358 is 2

Greatest Common Factor of 5350 and 5358 by matching factors method

Factors of 5350

List of positive integer factors of 5350 that divides 5350 without a remainder.

1,2,5,10,25,50,107,214,535,1070,2675,5350

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 5350 and 5358. The biggest common factor number is the GCF number.
So the greatest common factor 5350 and 5358 is 2.

Also check out the Least Common Multiple of 5350 and 5358

Properties of GCF 5350 and 5358

(i) The GCF of 5350 and 5358 is associative

GCF of 5350 and 5358 = GCF of 5358 and 5350

Related Greatest Common Factor of 5350

Related Greatest Common Factor of 5358

Frequently Asked Questions on GCF of 5350 and 5358

1. What is the GCF of 5350 and 5358?

Answer: GCF of 5350 and 5358 is 2.

2. What are the Factors of 5350?

Answer: Factors of 5350 are 1, 2, 5, 10, 25, 50, 107, 214, 535, 1070, 2675, 5350. There are 12 integers that are factors of 5350. The greatest factor of 5350 is 5350.

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 5350 and 5358?

Answer:

Greatest Common Factor of 5350 and 5358 = 2

Step 1: Find the prime factorization of 5350

5350 = 2 x 5 x 5 x 107

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 5350 and 5358 is 2