Greatest Common Factor of 8366 and 8374

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 8366, 8374 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8366 and 8374 is 2.

GCF(8366,8374) = 2

GCF of 8366 and 8374

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

GCF of:
and

Greatest Common Factor of 8366 and 8374

GCF of 8366 and 8374 is 2

Prime Factorization of 8366


2 8366
47 4183
89 89
1

Prime factors of 8366 are 2,47,89. Prime factorization of 8366 in exponential form is:

8366 = 21×471×891

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

∴ So by taking common prime factors GCF of 8366 and 8374 is 2

Greatest Common Factor of 8366 and 8374 by matching factors method

Factors of 8366

List of positive integer factors of 8366 that divides 8366 without a remainder.

1,2,47,89,94,178,4183,8366

Factors of 8374

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

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

Greatest Common Factor

We found the factors and prime factorization of 8366 and 8374. The biggest common factor number is the GCF number.
So the greatest common factor 8366 and 8374 is 2.

Also check out the Least Common Multiple of 8366 and 8374

Properties of GCF 8366 and 8374

(i) The GCF of 8366 and 8374 is associative

GCF of 8366 and 8374 = GCF of 8374 and 8366

Related Greatest Common Factor of 8366

Related Greatest Common Factor of 8374

Frequently Asked Questions on GCF of 8366 and 8374

1. What is the GCF of 8366 and 8374?

Answer: GCF of 8366 and 8374 is 2.

2. What are the Factors of 8366?

Answer: Factors of 8366 are 1, 2, 47, 89, 94, 178, 4183, 8366. There are 8 integers that are factors of 8366. The greatest factor of 8366 is 8366.

3. 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.

4. How to Find the GCF of 8366 and 8374?

Answer:

Greatest Common Factor of 8366 and 8374 = 2

Step 1: Find the prime factorization of 8366

8366 = 2 x 47 x 89

Step 2: Find the prime factorization of 8374

8374 = 2 x 53 x 79

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 8366 and 8374 is 2