Greatest Common Factor of 8752 and 8757

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, 8757 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8752 and 8757 is 1.

GCF(8752,8757) = 1

GCF of 8752 and 8757

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

GCF of:
and

Greatest Common Factor of 8752 and 8757

GCF of 8752 and 8757 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 8757


3 8757
3 2919
7 973
139 139
1

Prime factors of 8757 are 3,7,139. Prime factorization of 8757 in exponential form is:

8757 = 32×71×1391

∴ So by taking common prime factors GCF of 8752 and 8757 is 1

Greatest Common Factor of 8752 and 8757 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 8757

List of positive integer factors of 8757 that divides 8757 without a remainder.

1,3,7,9,21,63,139,417,973,1251,2919,8757

Greatest Common Factor

We found the factors and prime factorization of 8752 and 8757. The biggest common factor number is the GCF number.
So the greatest common factor 8752 and 8757 is 1.

Also check out the Least Common Multiple of 8752 and 8757

Properties of GCF 8752 and 8757

(i) The GCF of 8752 and 8757 is associative

GCF of 8752 and 8757 = GCF of 8757 and 8752

Related Greatest Common Factor of 8752

Related Greatest Common Factor of 8757

Frequently Asked Questions on GCF of 8752 and 8757

1. What is the GCF of 8752 and 8757?

Answer: GCF of 8752 and 8757 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 8757?

Answer: Factors of 8757 are 1, 3, 7, 9, 21, 63, 139, 417, 973, 1251, 2919, 8757. There are 12 integers that are factors of 8757. The greatest factor of 8757 is 8757.

4. How to Find the GCF of 8752 and 8757?

Answer:

Greatest Common Factor of 8752 and 8757 = 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 8757

8757 = 3 x 3 x 7 x 139

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 8757 is 1