Greatest Common Factor of 8746 and 8754

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 8746, 8754 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8746 and 8754 is 2.

GCF(8746,8754) = 2

GCF of 8746 and 8754

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

GCF of:
and

Greatest Common Factor of 8746 and 8754

GCF of 8746 and 8754 is 2

Prime Factorization of 8746


2 8746
4373 4373
1

Prime factors of 8746 are 2,4373. Prime factorization of 8746 in exponential form is:

8746 = 21×43731

Prime Factorization of 8754


2 8754
3 4377
1459 1459
1

Prime factors of 8754 are 2,3,1459. Prime factorization of 8754 in exponential form is:

8754 = 21×31×14591

∴ So by taking common prime factors GCF of 8746 and 8754 is 2

Greatest Common Factor of 8746 and 8754 by matching factors method

Factors of 8746

List of positive integer factors of 8746 that divides 8746 without a remainder.

1,2,4373,8746

Factors of 8754

List of positive integer factors of 8754 that divides 8754 without a remainder.

1,2,3,6,1459,2918,4377,8754

Greatest Common Factor

We found the factors and prime factorization of 8746 and 8754. The biggest common factor number is the GCF number.
So the greatest common factor 8746 and 8754 is 2.

Also check out the Least Common Multiple of 8746 and 8754

Properties of GCF 8746 and 8754

(i) The GCF of 8746 and 8754 is associative

GCF of 8746 and 8754 = GCF of 8754 and 8746

Related Greatest Common Factor of 8746

Related Greatest Common Factor of 8754

Frequently Asked Questions on GCF of 8746 and 8754

1. What is the GCF of 8746 and 8754?

Answer: GCF of 8746 and 8754 is 2.

2. What are the Factors of 8746?

Answer: Factors of 8746 are 1, 2, 4373, 8746. There are 4 integers that are factors of 8746. The greatest factor of 8746 is 8746.

3. What are the Factors of 8754?

Answer: Factors of 8754 are 1, 2, 3, 6, 1459, 2918, 4377, 8754. There are 8 integers that are factors of 8754. The greatest factor of 8754 is 8754.

4. How to Find the GCF of 8746 and 8754?

Answer:

Greatest Common Factor of 8746 and 8754 = 2

Step 1: Find the prime factorization of 8746

8746 = 2 x 4373

Step 2: Find the prime factorization of 8754

8754 = 2 x 3 x 1459

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 8746 and 8754 is 2