Greatest Common Factor of 8374 and 8380

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, 8380 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8374 and 8380 is 2.

GCF(8374,8380) = 2

GCF of 8374 and 8380

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

GCF of:
and

Greatest Common Factor of 8374 and 8380

GCF of 8374 and 8380 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 8380


2 8380
2 4190
5 2095
419 419
1

Prime factors of 8380 are 2,5,419. Prime factorization of 8380 in exponential form is:

8380 = 22×51×4191

∴ So by taking common prime factors GCF of 8374 and 8380 is 2

Greatest Common Factor of 8374 and 8380 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 8380

List of positive integer factors of 8380 that divides 8380 without a remainder.

1,2,4,5,10,20,419,838,1676,2095,4190,8380

Greatest Common Factor

We found the factors and prime factorization of 8374 and 8380. The biggest common factor number is the GCF number.
So the greatest common factor 8374 and 8380 is 2.

Also check out the Least Common Multiple of 8374 and 8380

Properties of GCF 8374 and 8380

(i) The GCF of 8374 and 8380 is associative

GCF of 8374 and 8380 = GCF of 8380 and 8374

Related Greatest Common Factor of 8374

Related Greatest Common Factor of 8380

Frequently Asked Questions on GCF of 8374 and 8380

1. What is the GCF of 8374 and 8380?

Answer: GCF of 8374 and 8380 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 8380?

Answer: Factors of 8380 are 1, 2, 4, 5, 10, 20, 419, 838, 1676, 2095, 4190, 8380. There are 12 integers that are factors of 8380. The greatest factor of 8380 is 8380.

4. How to Find the GCF of 8374 and 8380?

Answer:

Greatest Common Factor of 8374 and 8380 = 2

Step 1: Find the prime factorization of 8374

8374 = 2 x 53 x 79

Step 2: Find the prime factorization of 8380

8380 = 2 x 2 x 5 x 419

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 8380 is 2