Greatest Common Factor of 5342 and 5350

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 5342, 5350 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5342 and 5350 is 2.

GCF(5342,5350) = 2

GCF of 5342 and 5350

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

GCF of:
and

Greatest Common Factor of 5342 and 5350

GCF of 5342 and 5350 is 2

Prime Factorization of 5342


2 5342
2671 2671
1

Prime factors of 5342 are 2,2671. Prime factorization of 5342 in exponential form is:

5342 = 21×26711

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

∴ So by taking common prime factors GCF of 5342 and 5350 is 2

Greatest Common Factor of 5342 and 5350 by matching factors method

Factors of 5342

List of positive integer factors of 5342 that divides 5342 without a remainder.

1,2,2671,5342

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

Greatest Common Factor

We found the factors and prime factorization of 5342 and 5350. The biggest common factor number is the GCF number.
So the greatest common factor 5342 and 5350 is 2.

Also check out the Least Common Multiple of 5342 and 5350

Properties of GCF 5342 and 5350

(i) The GCF of 5342 and 5350 is associative

GCF of 5342 and 5350 = GCF of 5350 and 5342

Related Greatest Common Factor of 5342

Related Greatest Common Factor of 5350

Frequently Asked Questions on GCF of 5342 and 5350

1. What is the GCF of 5342 and 5350?

Answer: GCF of 5342 and 5350 is 2.

2. What are the Factors of 5342?

Answer: Factors of 5342 are 1, 2, 2671, 5342. There are 4 integers that are factors of 5342. The greatest factor of 5342 is 5342.

3. 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.

4. How to Find the GCF of 5342 and 5350?

Answer:

Greatest Common Factor of 5342 and 5350 = 2

Step 1: Find the prime factorization of 5342

5342 = 2 x 2671

Step 2: Find the prime factorization of 5350

5350 = 2 x 5 x 5 x 107

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 5342 and 5350 is 2