Greatest Common Factor of 5674 and 5678

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 5674, 5678 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5674 and 5678 is 2.

GCF(5674,5678) = 2

GCF of 5674 and 5678

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

GCF of:
and

Greatest Common Factor of 5674 and 5678

GCF of 5674 and 5678 is 2

Prime Factorization of 5674


2 5674
2837 2837
1

Prime factors of 5674 are 2,2837. Prime factorization of 5674 in exponential form is:

5674 = 21×28371

Prime Factorization of 5678


2 5678
17 2839
167 167
1

Prime factors of 5678 are 2,17,167. Prime factorization of 5678 in exponential form is:

5678 = 21×171×1671

∴ So by taking common prime factors GCF of 5674 and 5678 is 2

Greatest Common Factor of 5674 and 5678 by matching factors method

Factors of 5674

List of positive integer factors of 5674 that divides 5674 without a remainder.

1,2,2837,5674

Factors of 5678

List of positive integer factors of 5678 that divides 5678 without a remainder.

1,2,17,34,167,334,2839,5678

Greatest Common Factor

We found the factors and prime factorization of 5674 and 5678. The biggest common factor number is the GCF number.
So the greatest common factor 5674 and 5678 is 2.

Also check out the Least Common Multiple of 5674 and 5678

Properties of GCF 5674 and 5678

(i) The GCF of 5674 and 5678 is associative

GCF of 5674 and 5678 = GCF of 5678 and 5674

Related Greatest Common Factor of 5674

Related Greatest Common Factor of 5678

Frequently Asked Questions on GCF of 5674 and 5678

1. What is the GCF of 5674 and 5678?

Answer: GCF of 5674 and 5678 is 2.

2. What are the Factors of 5674?

Answer: Factors of 5674 are 1, 2, 2837, 5674. There are 4 integers that are factors of 5674. The greatest factor of 5674 is 5674.

3. What are the Factors of 5678?

Answer: Factors of 5678 are 1, 2, 17, 34, 167, 334, 2839, 5678. There are 8 integers that are factors of 5678. The greatest factor of 5678 is 5678.

4. How to Find the GCF of 5674 and 5678?

Answer:

Greatest Common Factor of 5674 and 5678 = 2

Step 1: Find the prime factorization of 5674

5674 = 2 x 2837

Step 2: Find the prime factorization of 5678

5678 = 2 x 17 x 167

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 5674 and 5678 is 2