Greatest Common Factor of 8374 and 8382

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 8374, 8382 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8374 and 8382 is 2.

GCF(8374,8382) = 2

GCF of 8374 and 8382

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

GCF of:
and

Greatest Common Factor of 8374 and 8382

GCF of 8374 and 8382 is 2

Prime Factorization of 8374


2 8374
53 4187
79 79
1

Prime factors of 8374 are 2,53,79. Prime factorization of 8374 in exponential form is:

8374 = 21×531×791

Prime Factorization of 8382


2 8382
3 4191
11 1397
127 127
1

Prime factors of 8382 are 2,3,11,127. Prime factorization of 8382 in exponential form is:

8382 = 21×31×111×1271

∴ So by taking common prime factors GCF of 8374 and 8382 is 2

Greatest Common Factor of 8374 and 8382 by matching factors method

Factors of 8374

List of positive integer factors of 8374 that divides 8374 without a remainder.

1,2,53,79,106,158,4187,8374

Factors of 8382

List of positive integer factors of 8382 that divides 8382 without a remainder.

1,2,3,6,11,22,33,66,127,254,381,762,1397,2794,4191,8382

Greatest Common Factor

We found the factors and prime factorization of 8374 and 8382. The biggest common factor number is the GCF number.
So the greatest common factor 8374 and 8382 is 2.

Also check out the Least Common Multiple of 8374 and 8382

Properties of GCF 8374 and 8382

(i) The GCF of 8374 and 8382 is associative

GCF of 8374 and 8382 = GCF of 8382 and 8374

Related Greatest Common Factor of 8374

Related Greatest Common Factor of 8382

Frequently Asked Questions on GCF of 8374 and 8382

1. What is the GCF of 8374 and 8382?

Answer: GCF of 8374 and 8382 is 2.

2. What are the Factors of 8374?

Answer: Factors of 8374 are 1, 2, 53, 79, 106, 158, 4187, 8374. There are 8 integers that are factors of 8374. The greatest factor of 8374 is 8374.

3. What are the Factors of 8382?

Answer: Factors of 8382 are 1, 2, 3, 6, 11, 22, 33, 66, 127, 254, 381, 762, 1397, 2794, 4191, 8382. There are 16 integers that are factors of 8382. The greatest factor of 8382 is 8382.

4. How to Find the GCF of 8374 and 8382?

Answer:

Greatest Common Factor of 8374 and 8382 = 2

Step 1: Find the prime factorization of 8374

8374 = 2 x 53 x 79

Step 2: Find the prime factorization of 8382

8382 = 2 x 3 x 11 x 127

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 8374 and 8382 is 2