Greatest Common Factor of 5350 and 5351

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, 5351 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5350 and 5351 is 1.

GCF(5350,5351) = 1

GCF of 5350 and 5351

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

GCF of:
and

Greatest Common Factor of 5350 and 5351

GCF of 5350 and 5351 is 1

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 5351


5351 5351
1

Prime factors of 5351 are 5351. Prime factorization of 5351 in exponential form is:

5351 = 53511

∴ So by taking common prime factors GCF of 5350 and 5351 is 1

Greatest Common Factor of 5350 and 5351 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 5351

List of positive integer factors of 5351 that divides 5351 without a remainder.

1,5351

Greatest Common Factor

We found the factors and prime factorization of 5350 and 5351. The biggest common factor number is the GCF number.
So the greatest common factor 5350 and 5351 is 1.

Also check out the Least Common Multiple of 5350 and 5351

Properties of GCF 5350 and 5351

(i) The GCF of 5350 and 5351 is associative

GCF of 5350 and 5351 = GCF of 5351 and 5350

Frequently Asked Questions on GCF of 5350 and 5351

1. What is the GCF of 5350 and 5351?

Answer: GCF of 5350 and 5351 is 1.

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 5351?

Answer: Factors of 5351 are 1, 5351. There are 2 integers that are factors of 5351. The greatest factor of 5351 is 5351.

4. How to Find the GCF of 5350 and 5351?

Answer:

Greatest Common Factor of 5350 and 5351 = 1

Step 1: Find the prime factorization of 5350

5350 = 2 x 5 x 5 x 107

Step 2: Find the prime factorization of 5351

5351 = 5351

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5350 and 5351 is 1