Greatest Common Factor of 8362 and 8366

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 8362, 8366 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8362 and 8366 is 2.

GCF(8362,8366) = 2

GCF of 8362 and 8366

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

GCF of:
and

Greatest Common Factor of 8362 and 8366

GCF of 8362 and 8366 is 2

Prime Factorization of 8362


2 8362
37 4181
113 113
1

Prime factors of 8362 are 2,37,113. Prime factorization of 8362 in exponential form is:

8362 = 21×371×1131

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

∴ So by taking common prime factors GCF of 8362 and 8366 is 2

Greatest Common Factor of 8362 and 8366 by matching factors method

Factors of 8362

List of positive integer factors of 8362 that divides 8362 without a remainder.

1,2,37,74,113,226,4181,8362

Factors of 8366

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

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

Greatest Common Factor

We found the factors and prime factorization of 8362 and 8366. The biggest common factor number is the GCF number.
So the greatest common factor 8362 and 8366 is 2.

Also check out the Least Common Multiple of 8362 and 8366

Properties of GCF 8362 and 8366

(i) The GCF of 8362 and 8366 is associative

GCF of 8362 and 8366 = GCF of 8366 and 8362

Related Greatest Common Factor of 8362

Related Greatest Common Factor of 8366

Frequently Asked Questions on GCF of 8362 and 8366

1. What is the GCF of 8362 and 8366?

Answer: GCF of 8362 and 8366 is 2.

2. What are the Factors of 8362?

Answer: Factors of 8362 are 1, 2, 37, 74, 113, 226, 4181, 8362. There are 8 integers that are factors of 8362. The greatest factor of 8362 is 8362.

3. 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.

4. How to Find the GCF of 8362 and 8366?

Answer:

Greatest Common Factor of 8362 and 8366 = 2

Step 1: Find the prime factorization of 8362

8362 = 2 x 37 x 113

Step 2: Find the prime factorization of 8366

8366 = 2 x 47 x 89

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 8362 and 8366 is 2