Greatest Common Factor of 8371 and 8377

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 8371, 8377 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8371 and 8377 is 1.

GCF(8371,8377) = 1

GCF of 8371 and 8377

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

GCF of:
and

Greatest Common Factor of 8371 and 8377

GCF of 8371 and 8377 is 1

Prime Factorization of 8371


11 8371
761 761
1

Prime factors of 8371 are 11,761. Prime factorization of 8371 in exponential form is:

8371 = 111×7611

Prime Factorization of 8377


8377 8377
1

Prime factors of 8377 are 8377. Prime factorization of 8377 in exponential form is:

8377 = 83771

∴ So by taking common prime factors GCF of 8371 and 8377 is 1

Greatest Common Factor of 8371 and 8377 by matching factors method

Factors of 8371

List of positive integer factors of 8371 that divides 8371 without a remainder.

1,11,761,8371

Factors of 8377

List of positive integer factors of 8377 that divides 8377 without a remainder.

1,8377

Greatest Common Factor

We found the factors and prime factorization of 8371 and 8377. The biggest common factor number is the GCF number.
So the greatest common factor 8371 and 8377 is 1.

Also check out the Least Common Multiple of 8371 and 8377

Properties of GCF 8371 and 8377

(i) The GCF of 8371 and 8377 is associative

GCF of 8371 and 8377 = GCF of 8377 and 8371

Related Greatest Common Factor of 8371

Related Greatest Common Factor of 8377

Frequently Asked Questions on GCF of 8371 and 8377

1. What is the GCF of 8371 and 8377?

Answer: GCF of 8371 and 8377 is 1.

2. What are the Factors of 8371?

Answer: Factors of 8371 are 1, 11, 761, 8371. There are 4 integers that are factors of 8371. The greatest factor of 8371 is 8371.

3. What are the Factors of 8377?

Answer: Factors of 8377 are 1, 8377. There are 2 integers that are factors of 8377. The greatest factor of 8377 is 8377.

4. How to Find the GCF of 8371 and 8377?

Answer:

Greatest Common Factor of 8371 and 8377 = 1

Step 1: Find the prime factorization of 8371

8371 = 11 x 761

Step 2: Find the prime factorization of 8377

8377 = 8377

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 8371 and 8377 is 1