Greatest Common Factor of 8760 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 8760, 8766 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8760 and 8766 is 6.

GCF(8760,8766) = 6

GCF of 8760 and 8766

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

GCF of:
and

Greatest Common Factor of 8760 and 8766

GCF of 8760 and 8766 is 6

Prime Factorization of 8760


2 8760
2 4380
2 2190
3 1095
5 365
73 73
1

Prime factors of 8760 are 2,3,5,73. Prime factorization of 8760 in exponential form is:

8760 = 23×31×51×731

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 8760 and 8766 is 6

Greatest Common Factor of 8760 and 8766 by matching factors method

Factors of 8760

List of positive integer factors of 8760 that divides 8760 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,73,120,146,219,292,365,438,584,730,876,1095,1460,1752,2190,2920,4380,8760

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 8760 and 8766. The biggest common factor number is the GCF number.
So the greatest common factor 8760 and 8766 is 6.

Also check out the Least Common Multiple of 8760 and 8766

Properties of GCF 8760 and 8766

(i) The GCF of 8760 and 8766 is associative

GCF of 8760 and 8766 = GCF of 8766 and 8760

Related Greatest Common Factor of 8760

Related Greatest Common Factor of 8766

Frequently Asked Questions on GCF of 8760 and 8766

1. What is the GCF of 8760 and 8766?

Answer: GCF of 8760 and 8766 is 6.

2. What are the Factors of 8760?

Answer: Factors of 8760 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 73, 120, 146, 219, 292, 365, 438, 584, 730, 876, 1095, 1460, 1752, 2190, 2920, 4380, 8760. There are 32 integers that are factors of 8760. The greatest factor of 8760 is 8760.

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 8760 and 8766?

Answer:

Greatest Common Factor of 8760 and 8766 = 6

Step 1: Find the prime factorization of 8760

8760 = 2 x 2 x 2 x 3 x 5 x 73

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 x 3 = 6

Step 4: Therefore, the greatest common factor of 8760 and 8766 is 6