Greatest Common Factor of 8760 and 8763

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, 8763 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8760 and 8763 is 3.

GCF(8760,8763) = 3

GCF of 8760 and 8763

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

GCF of:
and

Greatest Common Factor of 8760 and 8763

GCF of 8760 and 8763 is 3

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 8763


3 8763
23 2921
127 127
1

Prime factors of 8763 are 3,23,127. Prime factorization of 8763 in exponential form is:

8763 = 31×231×1271

∴ So by taking common prime factors GCF of 8760 and 8763 is 3

Greatest Common Factor of 8760 and 8763 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 8763

List of positive integer factors of 8763 that divides 8763 without a remainder.

1,3,23,69,127,381,2921,8763

Greatest Common Factor

We found the factors and prime factorization of 8760 and 8763. The biggest common factor number is the GCF number.
So the greatest common factor 8760 and 8763 is 3.

Also check out the Least Common Multiple of 8760 and 8763

Properties of GCF 8760 and 8763

(i) The GCF of 8760 and 8763 is associative

GCF of 8760 and 8763 = GCF of 8763 and 8760

Related Greatest Common Factor of 8760

Related Greatest Common Factor of 8763

Frequently Asked Questions on GCF of 8760 and 8763

1. What is the GCF of 8760 and 8763?

Answer: GCF of 8760 and 8763 is 3.

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 8763?

Answer: Factors of 8763 are 1, 3, 23, 69, 127, 381, 2921, 8763. There are 8 integers that are factors of 8763. The greatest factor of 8763 is 8763.

4. How to Find the GCF of 8760 and 8763?

Answer:

Greatest Common Factor of 8760 and 8763 = 3

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 8763

8763 = 3 x 23 x 127

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 8760 and 8763 is 3