Greatest Common Factor of 8368 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 8368, 8374 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8368 and 8374 is 2.

GCF(8368,8374) = 2

GCF of 8368 and 8374

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

GCF of:
and

Greatest Common Factor of 8368 and 8374

GCF of 8368 and 8374 is 2

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

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 8368 and 8374 is 2

Greatest Common Factor of 8368 and 8374 by matching factors method

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

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 8368 and 8374. The biggest common factor number is the GCF number.
So the greatest common factor 8368 and 8374 is 2.

Also check out the Least Common Multiple of 8368 and 8374

Properties of GCF 8368 and 8374

(i) The GCF of 8368 and 8374 is associative

GCF of 8368 and 8374 = GCF of 8374 and 8368

Related Greatest Common Factor of 8368

Related Greatest Common Factor of 8374

Frequently Asked Questions on GCF of 8368 and 8374

1. What is the GCF of 8368 and 8374?

Answer: GCF of 8368 and 8374 is 2.

2. 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.

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 8368 and 8374?

Answer:

Greatest Common Factor of 8368 and 8374 = 2

Step 1: Find the prime factorization of 8368

8368 = 2 x 2 x 2 x 2 x 523

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 8368 and 8374 is 2