Greatest Common Factor of 8760 and 8764

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, 8764 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8760 and 8764 is 4.

GCF(8760,8764) = 4

GCF of 8760 and 8764

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

GCF of:
and

Greatest Common Factor of 8760 and 8764

GCF of 8760 and 8764 is 4

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 8764


2 8764
2 4382
7 2191
313 313
1

Prime factors of 8764 are 2,7,313. Prime factorization of 8764 in exponential form is:

8764 = 22×71×3131

∴ So by taking common prime factors GCF of 8760 and 8764 is 4

Greatest Common Factor of 8760 and 8764 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 8764

List of positive integer factors of 8764 that divides 8764 without a remainder.

1,2,4,7,14,28,313,626,1252,2191,4382,8764

Greatest Common Factor

We found the factors and prime factorization of 8760 and 8764. The biggest common factor number is the GCF number.
So the greatest common factor 8760 and 8764 is 4.

Also check out the Least Common Multiple of 8760 and 8764

Properties of GCF 8760 and 8764

(i) The GCF of 8760 and 8764 is associative

GCF of 8760 and 8764 = GCF of 8764 and 8760

Related Greatest Common Factor of 8760

Related Greatest Common Factor of 8764

Frequently Asked Questions on GCF of 8760 and 8764

1. What is the GCF of 8760 and 8764?

Answer: GCF of 8760 and 8764 is 4.

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 8764?

Answer: Factors of 8764 are 1, 2, 4, 7, 14, 28, 313, 626, 1252, 2191, 4382, 8764. There are 12 integers that are factors of 8764. The greatest factor of 8764 is 8764.

4. How to Find the GCF of 8760 and 8764?

Answer:

Greatest Common Factor of 8760 and 8764 = 4

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 8764

8764 = 2 x 2 x 7 x 313

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8760 and 8764 is 4