Greatest Common Factor of 8752 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 8752, 8760 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8752 and 8760 is 8.

GCF(8752,8760) = 8

GCF of 8752 and 8760

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

GCF of:
and

Greatest Common Factor of 8752 and 8760

GCF of 8752 and 8760 is 8

Prime Factorization of 8752


2 8752
2 4376
2 2188
2 1094
547 547
1

Prime factors of 8752 are 2,547. Prime factorization of 8752 in exponential form is:

8752 = 24×5471

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 8752 and 8760 is 8

Greatest Common Factor of 8752 and 8760 by matching factors method

Factors of 8752

List of positive integer factors of 8752 that divides 8752 without a remainder.

1,2,4,8,16,547,1094,2188,4376,8752

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 8752 and 8760. The biggest common factor number is the GCF number.
So the greatest common factor 8752 and 8760 is 8.

Also check out the Least Common Multiple of 8752 and 8760

Properties of GCF 8752 and 8760

(i) The GCF of 8752 and 8760 is associative

GCF of 8752 and 8760 = GCF of 8760 and 8752

Related Greatest Common Factor of 8752

Related Greatest Common Factor of 8760

Frequently Asked Questions on GCF of 8752 and 8760

1. What is the GCF of 8752 and 8760?

Answer: GCF of 8752 and 8760 is 8.

2. What are the Factors of 8752?

Answer: Factors of 8752 are 1, 2, 4, 8, 16, 547, 1094, 2188, 4376, 8752. There are 10 integers that are factors of 8752. The greatest factor of 8752 is 8752.

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 8752 and 8760?

Answer:

Greatest Common Factor of 8752 and 8760 = 8

Step 1: Find the prime factorization of 8752

8752 = 2 x 2 x 2 x 2 x 547

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 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 8752 and 8760 is 8