Greatest Common Factor of 8762 and 8766

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 8762, 8766 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8762 and 8766 is 2.

GCF(8762,8766) = 2

GCF of 8762 and 8766

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

GCF of:
and

Greatest Common Factor of 8762 and 8766

GCF of 8762 and 8766 is 2

Prime Factorization of 8762


2 8762
13 4381
337 337
1

Prime factors of 8762 are 2,13,337. Prime factorization of 8762 in exponential form is:

8762 = 21×131×3371

Prime Factorization of 8766


2 8766
3 4383
3 1461
487 487
1

Prime factors of 8766 are 2,3,487. Prime factorization of 8766 in exponential form is:

8766 = 21×32×4871

∴ So by taking common prime factors GCF of 8762 and 8766 is 2

Greatest Common Factor of 8762 and 8766 by matching factors method

Factors of 8762

List of positive integer factors of 8762 that divides 8762 without a remainder.

1,2,13,26,337,674,4381,8762

Factors of 8766

List of positive integer factors of 8766 that divides 8766 without a remainder.

1,2,3,6,9,18,487,974,1461,2922,4383,8766

Greatest Common Factor

We found the factors and prime factorization of 8762 and 8766. The biggest common factor number is the GCF number.
So the greatest common factor 8762 and 8766 is 2.

Also check out the Least Common Multiple of 8762 and 8766

Properties of GCF 8762 and 8766

(i) The GCF of 8762 and 8766 is associative

GCF of 8762 and 8766 = GCF of 8766 and 8762

Related Greatest Common Factor of 8762

Related Greatest Common Factor of 8766

Frequently Asked Questions on GCF of 8762 and 8766

1. What is the GCF of 8762 and 8766?

Answer: GCF of 8762 and 8766 is 2.

2. What are the Factors of 8762?

Answer: Factors of 8762 are 1, 2, 13, 26, 337, 674, 4381, 8762. There are 8 integers that are factors of 8762. The greatest factor of 8762 is 8762.

3. What are the Factors of 8766?

Answer: Factors of 8766 are 1, 2, 3, 6, 9, 18, 487, 974, 1461, 2922, 4383, 8766. There are 12 integers that are factors of 8766. The greatest factor of 8766 is 8766.

4. How to Find the GCF of 8762 and 8766?

Answer:

Greatest Common Factor of 8762 and 8766 = 2

Step 1: Find the prime factorization of 8762

8762 = 2 x 13 x 337

Step 2: Find the prime factorization of 8766

8766 = 2 x 3 x 3 x 487

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 8762 and 8766 is 2