Greatest Common Factor of 8749 and 8750

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 8749, 8750 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8749 and 8750 is 1.

GCF(8749,8750) = 1

GCF of 8749 and 8750

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

GCF of:
and

Greatest Common Factor of 8749 and 8750

GCF of 8749 and 8750 is 1

Prime Factorization of 8749


13 8749
673 673
1

Prime factors of 8749 are 13,673. Prime factorization of 8749 in exponential form is:

8749 = 131×6731

Prime Factorization of 8750


2 8750
5 4375
5 875
5 175
5 35
7 7
1

Prime factors of 8750 are 2,5,7. Prime factorization of 8750 in exponential form is:

8750 = 21×54×71

∴ So by taking common prime factors GCF of 8749 and 8750 is 1

Greatest Common Factor of 8749 and 8750 by matching factors method

Factors of 8749

List of positive integer factors of 8749 that divides 8749 without a remainder.

1,13,673,8749

Factors of 8750

List of positive integer factors of 8750 that divides 8750 without a remainder.

1,2,5,7,10,14,25,35,50,70,125,175,250,350,625,875,1250,1750,4375,8750

Greatest Common Factor

We found the factors and prime factorization of 8749 and 8750. The biggest common factor number is the GCF number.
So the greatest common factor 8749 and 8750 is 1.

Also check out the Least Common Multiple of 8749 and 8750

Properties of GCF 8749 and 8750

(i) The GCF of 8749 and 8750 is associative

GCF of 8749 and 8750 = GCF of 8750 and 8749

Related Greatest Common Factor of 8749

Related Greatest Common Factor of 8750

Frequently Asked Questions on GCF of 8749 and 8750

1. What is the GCF of 8749 and 8750?

Answer: GCF of 8749 and 8750 is 1.

2. What are the Factors of 8749?

Answer: Factors of 8749 are 1, 13, 673, 8749. There are 4 integers that are factors of 8749. The greatest factor of 8749 is 8749.

3. What are the Factors of 8750?

Answer: Factors of 8750 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 625, 875, 1250, 1750, 4375, 8750. There are 20 integers that are factors of 8750. The greatest factor of 8750 is 8750.

4. How to Find the GCF of 8749 and 8750?

Answer:

Greatest Common Factor of 8749 and 8750 = 1

Step 1: Find the prime factorization of 8749

8749 = 13 x 673

Step 2: Find the prime factorization of 8750

8750 = 2 x 5 x 5 x 5 x 5 x 7

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 8749 and 8750 is 1