Greatest Common Factor of 5350 and 5354

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

Greatest common factor (GCF) of 5350 and 5354 is 2.

GCF(5350,5354) = 2

GCF of 5350 and 5354

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

GCF of:
and

Greatest Common Factor of 5350 and 5354

GCF of 5350 and 5354 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 5354


2 5354
2677 2677
1

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

5354 = 21×26771

∴ So by taking common prime factors GCF of 5350 and 5354 is 2

Greatest Common Factor of 5350 and 5354 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 5354

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

1,2,2677,5354

Greatest Common Factor

We found the factors and prime factorization of 5350 and 5354. The biggest common factor number is the GCF number.
So the greatest common factor 5350 and 5354 is 2.

Also check out the Least Common Multiple of 5350 and 5354

Properties of GCF 5350 and 5354

(i) The GCF of 5350 and 5354 is associative

GCF of 5350 and 5354 = GCF of 5354 and 5350

Related Greatest Common Factor of 5350

Related Greatest Common Factor of 5354

Frequently Asked Questions on GCF of 5350 and 5354

1. What is the GCF of 5350 and 5354?

Answer: GCF of 5350 and 5354 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 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.

4. How to Find the GCF of 5350 and 5354?

Answer:

Greatest Common Factor of 5350 and 5354 = 2

Step 1: Find the prime factorization of 5350

5350 = 2 x 5 x 5 x 107

Step 2: Find the prime factorization of 5354

5354 = 2 x 2677

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 5354 is 2