Greatest Common Factor of 8742 and 8746

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 8742, 8746 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8742 and 8746 is 2.

GCF(8742,8746) = 2

GCF of 8742 and 8746

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

GCF of:
and

Greatest Common Factor of 8742 and 8746

GCF of 8742 and 8746 is 2

Prime Factorization of 8742


2 8742
3 4371
31 1457
47 47
1

Prime factors of 8742 are 2,3,31,47. Prime factorization of 8742 in exponential form is:

8742 = 21×31×311×471

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

∴ So by taking common prime factors GCF of 8742 and 8746 is 2

Greatest Common Factor of 8742 and 8746 by matching factors method

Factors of 8742

List of positive integer factors of 8742 that divides 8742 without a remainder.

1,2,3,6,31,47,62,93,94,141,186,282,1457,2914,4371,8742

Factors of 8746

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

1,2,4373,8746

Greatest Common Factor

We found the factors and prime factorization of 8742 and 8746. The biggest common factor number is the GCF number.
So the greatest common factor 8742 and 8746 is 2.

Also check out the Least Common Multiple of 8742 and 8746

Properties of GCF 8742 and 8746

(i) The GCF of 8742 and 8746 is associative

GCF of 8742 and 8746 = GCF of 8746 and 8742

Related Greatest Common Factor of 8742

Related Greatest Common Factor of 8746

Frequently Asked Questions on GCF of 8742 and 8746

1. What is the GCF of 8742 and 8746?

Answer: GCF of 8742 and 8746 is 2.

2. What are the Factors of 8742?

Answer: Factors of 8742 are 1, 2, 3, 6, 31, 47, 62, 93, 94, 141, 186, 282, 1457, 2914, 4371, 8742. There are 16 integers that are factors of 8742. The greatest factor of 8742 is 8742.

3. 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.

4. How to Find the GCF of 8742 and 8746?

Answer:

Greatest Common Factor of 8742 and 8746 = 2

Step 1: Find the prime factorization of 8742

8742 = 2 x 3 x 31 x 47

Step 2: Find the prime factorization of 8746

8746 = 2 x 4373

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 8742 and 8746 is 2