Greatest Common Factor of 8754 and 8760

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 8754, 8760 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8754 and 8760 is 6.

GCF(8754,8760) = 6

GCF of 8754 and 8760

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

GCF of:
and

Greatest Common Factor of 8754 and 8760

GCF of 8754 and 8760 is 6

Prime Factorization of 8754


2 8754
3 4377
1459 1459
1

Prime factors of 8754 are 2,3,1459. Prime factorization of 8754 in exponential form is:

8754 = 21×31×14591

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

∴ So by taking common prime factors GCF of 8754 and 8760 is 6

Greatest Common Factor of 8754 and 8760 by matching factors method

Factors of 8754

List of positive integer factors of 8754 that divides 8754 without a remainder.

1,2,3,6,1459,2918,4377,8754

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

Greatest Common Factor

We found the factors and prime factorization of 8754 and 8760. The biggest common factor number is the GCF number.
So the greatest common factor 8754 and 8760 is 6.

Also check out the Least Common Multiple of 8754 and 8760

Properties of GCF 8754 and 8760

(i) The GCF of 8754 and 8760 is associative

GCF of 8754 and 8760 = GCF of 8760 and 8754

Related Greatest Common Factor of 8754

Related Greatest Common Factor of 8760

Frequently Asked Questions on GCF of 8754 and 8760

1. What is the GCF of 8754 and 8760?

Answer: GCF of 8754 and 8760 is 6.

2. What are the Factors of 8754?

Answer: Factors of 8754 are 1, 2, 3, 6, 1459, 2918, 4377, 8754. There are 8 integers that are factors of 8754. The greatest factor of 8754 is 8754.

3. 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.

4. How to Find the GCF of 8754 and 8760?

Answer:

Greatest Common Factor of 8754 and 8760 = 6

Step 1: Find the prime factorization of 8754

8754 = 2 x 3 x 1459

Step 2: Find the prime factorization of 8760

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

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 8754 and 8760 is 6