Greatest Common Factor of 8752 and 8759

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, 8759 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8752 and 8759 is 1.

GCF(8752,8759) = 1

GCF of 8752 and 8759

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

GCF of:
and

Greatest Common Factor of 8752 and 8759

GCF of 8752 and 8759 is 1

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 8759


19 8759
461 461
1

Prime factors of 8759 are 19,461. Prime factorization of 8759 in exponential form is:

8759 = 191×4611

∴ So by taking common prime factors GCF of 8752 and 8759 is 1

Greatest Common Factor of 8752 and 8759 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 8759

List of positive integer factors of 8759 that divides 8759 without a remainder.

1,19,461,8759

Greatest Common Factor

We found the factors and prime factorization of 8752 and 8759. The biggest common factor number is the GCF number.
So the greatest common factor 8752 and 8759 is 1.

Also check out the Least Common Multiple of 8752 and 8759

Properties of GCF 8752 and 8759

(i) The GCF of 8752 and 8759 is associative

GCF of 8752 and 8759 = GCF of 8759 and 8752

Related Greatest Common Factor of 8752

Related Greatest Common Factor of 8759

Frequently Asked Questions on GCF of 8752 and 8759

1. What is the GCF of 8752 and 8759?

Answer: GCF of 8752 and 8759 is 1.

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 8759?

Answer: Factors of 8759 are 1, 19, 461, 8759. There are 4 integers that are factors of 8759. The greatest factor of 8759 is 8759.

4. How to Find the GCF of 8752 and 8759?

Answer:

Greatest Common Factor of 8752 and 8759 = 1

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 8759

8759 = 19 x 461

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 8752 and 8759 is 1