Greatest Common Factor of 8732 and 8738

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 8732, 8738 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8732 and 8738 is 2.

GCF(8732,8738) = 2

GCF of 8732 and 8738

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

GCF of:
and

Greatest Common Factor of 8732 and 8738

GCF of 8732 and 8738 is 2

Prime Factorization of 8732


2 8732
2 4366
37 2183
59 59
1

Prime factors of 8732 are 2,37,59. Prime factorization of 8732 in exponential form is:

8732 = 22×371×591

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

∴ So by taking common prime factors GCF of 8732 and 8738 is 2

Greatest Common Factor of 8732 and 8738 by matching factors method

Factors of 8732

List of positive integer factors of 8732 that divides 8732 without a remainder.

1,2,4,37,59,74,118,148,236,2183,4366,8732

Factors of 8738

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

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

Greatest Common Factor

We found the factors and prime factorization of 8732 and 8738. The biggest common factor number is the GCF number.
So the greatest common factor 8732 and 8738 is 2.

Also check out the Least Common Multiple of 8732 and 8738

Properties of GCF 8732 and 8738

(i) The GCF of 8732 and 8738 is associative

GCF of 8732 and 8738 = GCF of 8738 and 8732

Related Greatest Common Factor of 8732

Related Greatest Common Factor of 8738

Frequently Asked Questions on GCF of 8732 and 8738

1. What is the GCF of 8732 and 8738?

Answer: GCF of 8732 and 8738 is 2.

2. What are the Factors of 8732?

Answer: Factors of 8732 are 1, 2, 4, 37, 59, 74, 118, 148, 236, 2183, 4366, 8732. There are 12 integers that are factors of 8732. The greatest factor of 8732 is 8732.

3. 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.

4. How to Find the GCF of 8732 and 8738?

Answer:

Greatest Common Factor of 8732 and 8738 = 2

Step 1: Find the prime factorization of 8732

8732 = 2 x 2 x 37 x 59

Step 2: Find the prime factorization of 8738

8738 = 2 x 17 x 257

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 8732 and 8738 is 2