Greatest Common Factor of 8362 and 8368

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, 8368 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8362 and 8368 is 2.

GCF(8362,8368) = 2

GCF of 8362 and 8368

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

GCF of:
and

Greatest Common Factor of 8362 and 8368

GCF of 8362 and 8368 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 8368


2 8368
2 4184
2 2092
2 1046
523 523
1

Prime factors of 8368 are 2,523. Prime factorization of 8368 in exponential form is:

8368 = 24×5231

∴ So by taking common prime factors GCF of 8362 and 8368 is 2

Greatest Common Factor of 8362 and 8368 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 8368

List of positive integer factors of 8368 that divides 8368 without a remainder.

1,2,4,8,16,523,1046,2092,4184,8368

Greatest Common Factor

We found the factors and prime factorization of 8362 and 8368. The biggest common factor number is the GCF number.
So the greatest common factor 8362 and 8368 is 2.

Also check out the Least Common Multiple of 8362 and 8368

Properties of GCF 8362 and 8368

(i) The GCF of 8362 and 8368 is associative

GCF of 8362 and 8368 = GCF of 8368 and 8362

Related Greatest Common Factor of 8362

Related Greatest Common Factor of 8368

Frequently Asked Questions on GCF of 8362 and 8368

1. What is the GCF of 8362 and 8368?

Answer: GCF of 8362 and 8368 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 8368?

Answer: Factors of 8368 are 1, 2, 4, 8, 16, 523, 1046, 2092, 4184, 8368. There are 10 integers that are factors of 8368. The greatest factor of 8368 is 8368.

4. How to Find the GCF of 8362 and 8368?

Answer:

Greatest Common Factor of 8362 and 8368 = 2

Step 1: Find the prime factorization of 8362

8362 = 2 x 37 x 113

Step 2: Find the prime factorization of 8368

8368 = 2 x 2 x 2 x 2 x 523

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 8368 is 2