Greatest Common Factor of 8738 and 8742

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 8738, 8742 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8738 and 8742 is 2.

GCF(8738,8742) = 2

GCF of 8738 and 8742

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

GCF of:
and

Greatest Common Factor of 8738 and 8742

GCF of 8738 and 8742 is 2

Prime Factorization of 8738


2 8738
17 4369
257 257
1

Prime factors of 8738 are 2,17,257. Prime factorization of 8738 in exponential form is:

8738 = 21×171×2571

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

∴ So by taking common prime factors GCF of 8738 and 8742 is 2

Greatest Common Factor of 8738 and 8742 by matching factors method

Factors of 8738

List of positive integer factors of 8738 that divides 8738 without a remainder.

1,2,17,34,257,514,4369,8738

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

Greatest Common Factor

We found the factors and prime factorization of 8738 and 8742. The biggest common factor number is the GCF number.
So the greatest common factor 8738 and 8742 is 2.

Also check out the Least Common Multiple of 8738 and 8742

Properties of GCF 8738 and 8742

(i) The GCF of 8738 and 8742 is associative

GCF of 8738 and 8742 = GCF of 8742 and 8738

Related Greatest Common Factor of 8738

Related Greatest Common Factor of 8742

Frequently Asked Questions on GCF of 8738 and 8742

1. What is the GCF of 8738 and 8742?

Answer: GCF of 8738 and 8742 is 2.

2. What are the Factors of 8738?

Answer: Factors of 8738 are 1, 2, 17, 34, 257, 514, 4369, 8738. There are 8 integers that are factors of 8738. The greatest factor of 8738 is 8738.

3. 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.

4. How to Find the GCF of 8738 and 8742?

Answer:

Greatest Common Factor of 8738 and 8742 = 2

Step 1: Find the prime factorization of 8738

8738 = 2 x 17 x 257

Step 2: Find the prime factorization of 8742

8742 = 2 x 3 x 31 x 47

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 8738 and 8742 is 2