Greatest Common Factor of 8760 and 8768

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, 8768 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8760 and 8768 is 8.

GCF(8760,8768) = 8

GCF of 8760 and 8768

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

GCF of:
and

Greatest Common Factor of 8760 and 8768

GCF of 8760 and 8768 is 8

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 8768


2 8768
2 4384
2 2192
2 1096
2 548
2 274
137 137
1

Prime factors of 8768 are 2,137. Prime factorization of 8768 in exponential form is:

8768 = 26×1371

∴ So by taking common prime factors GCF of 8760 and 8768 is 8

Greatest Common Factor of 8760 and 8768 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 8768

List of positive integer factors of 8768 that divides 8768 without a remainder.

1,2,4,8,16,32,64,137,274,548,1096,2192,4384,8768

Greatest Common Factor

We found the factors and prime factorization of 8760 and 8768. The biggest common factor number is the GCF number.
So the greatest common factor 8760 and 8768 is 8.

Also check out the Least Common Multiple of 8760 and 8768

Properties of GCF 8760 and 8768

(i) The GCF of 8760 and 8768 is associative

GCF of 8760 and 8768 = GCF of 8768 and 8760

Related Greatest Common Factor of 8760

Related Greatest Common Factor of 8768

Frequently Asked Questions on GCF of 8760 and 8768

1. What is the GCF of 8760 and 8768?

Answer: GCF of 8760 and 8768 is 8.

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 8768?

Answer: Factors of 8768 are 1, 2, 4, 8, 16, 32, 64, 137, 274, 548, 1096, 2192, 4384, 8768. There are 14 integers that are factors of 8768. The greatest factor of 8768 is 8768.

4. How to Find the GCF of 8760 and 8768?

Answer:

Greatest Common Factor of 8760 and 8768 = 8

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 8768

8768 = 2 x 2 x 2 x 2 x 2 x 2 x 137

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 8760 and 8768 is 8