Greatest Common Factor of 8371 and 8378

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, 8378 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8371 and 8378 is 1.

GCF(8371,8378) = 1

GCF of 8371 and 8378

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

GCF of:
and

Greatest Common Factor of 8371 and 8378

GCF of 8371 and 8378 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 8378


2 8378
59 4189
71 71
1

Prime factors of 8378 are 2,59,71. Prime factorization of 8378 in exponential form is:

8378 = 21×591×711

∴ So by taking common prime factors GCF of 8371 and 8378 is 1

Greatest Common Factor of 8371 and 8378 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 8378

List of positive integer factors of 8378 that divides 8378 without a remainder.

1,2,59,71,118,142,4189,8378

Greatest Common Factor

We found the factors and prime factorization of 8371 and 8378. The biggest common factor number is the GCF number.
So the greatest common factor 8371 and 8378 is 1.

Also check out the Least Common Multiple of 8371 and 8378

Properties of GCF 8371 and 8378

(i) The GCF of 8371 and 8378 is associative

GCF of 8371 and 8378 = GCF of 8378 and 8371

Related Greatest Common Factor of 8371

Related Greatest Common Factor of 8378

Frequently Asked Questions on GCF of 8371 and 8378

1. What is the GCF of 8371 and 8378?

Answer: GCF of 8371 and 8378 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 8378?

Answer: Factors of 8378 are 1, 2, 59, 71, 118, 142, 4189, 8378. There are 8 integers that are factors of 8378. The greatest factor of 8378 is 8378.

4. How to Find the GCF of 8371 and 8378?

Answer:

Greatest Common Factor of 8371 and 8378 = 1

Step 1: Find the prime factorization of 8371

8371 = 11 x 761

Step 2: Find the prime factorization of 8378

8378 = 2 x 59 x 71

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 8378 is 1