Greatest Common Factor of 5371 and 5374

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 5371, 5374 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5371 and 5374 is 1.

GCF(5371,5374) = 1

GCF of 5371 and 5374

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

GCF of:
and

Greatest Common Factor of 5371 and 5374

GCF of 5371 and 5374 is 1

Prime Factorization of 5371


41 5371
131 131
1

Prime factors of 5371 are 41,131. Prime factorization of 5371 in exponential form is:

5371 = 411×1311

Prime Factorization of 5374


2 5374
2687 2687
1

Prime factors of 5374 are 2,2687. Prime factorization of 5374 in exponential form is:

5374 = 21×26871

∴ So by taking common prime factors GCF of 5371 and 5374 is 1

Greatest Common Factor of 5371 and 5374 by matching factors method

Factors of 5371

List of positive integer factors of 5371 that divides 5371 without a remainder.

1,41,131,5371

Factors of 5374

List of positive integer factors of 5374 that divides 5374 without a remainder.

1,2,2687,5374

Greatest Common Factor

We found the factors and prime factorization of 5371 and 5374. The biggest common factor number is the GCF number.
So the greatest common factor 5371 and 5374 is 1.

Also check out the Least Common Multiple of 5371 and 5374

Properties of GCF 5371 and 5374

(i) The GCF of 5371 and 5374 is associative

GCF of 5371 and 5374 = GCF of 5374 and 5371

Related Greatest Common Factor of 5371

Related Greatest Common Factor of 5374

Frequently Asked Questions on GCF of 5371 and 5374

1. What is the GCF of 5371 and 5374?

Answer: GCF of 5371 and 5374 is 1.

2. What are the Factors of 5371?

Answer: Factors of 5371 are 1, 41, 131, 5371. There are 4 integers that are factors of 5371. The greatest factor of 5371 is 5371.

3. What are the Factors of 5374?

Answer: Factors of 5374 are 1, 2, 2687, 5374. There are 4 integers that are factors of 5374. The greatest factor of 5374 is 5374.

4. How to Find the GCF of 5371 and 5374?

Answer:

Greatest Common Factor of 5371 and 5374 = 1

Step 1: Find the prime factorization of 5371

5371 = 41 x 131

Step 2: Find the prime factorization of 5374

5374 = 2 x 2687

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 5371 and 5374 is 1