Greatest Common Factor of 8749 and 8754

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, 8754 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8749 and 8754 is 1.

GCF(8749,8754) = 1

GCF of 8749 and 8754

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

GCF of:
and

Greatest Common Factor of 8749 and 8754

GCF of 8749 and 8754 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 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

∴ So by taking common prime factors GCF of 8749 and 8754 is 1

Greatest Common Factor of 8749 and 8754 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 8754

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

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

Greatest Common Factor

We found the factors and prime factorization of 8749 and 8754. The biggest common factor number is the GCF number.
So the greatest common factor 8749 and 8754 is 1.

Also check out the Least Common Multiple of 8749 and 8754

Properties of GCF 8749 and 8754

(i) The GCF of 8749 and 8754 is associative

GCF of 8749 and 8754 = GCF of 8754 and 8749

Related Greatest Common Factor of 8749

Related Greatest Common Factor of 8754

Frequently Asked Questions on GCF of 8749 and 8754

1. What is the GCF of 8749 and 8754?

Answer: GCF of 8749 and 8754 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 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.

4. How to Find the GCF of 8749 and 8754?

Answer:

Greatest Common Factor of 8749 and 8754 = 1

Step 1: Find the prime factorization of 8749

8749 = 13 x 673

Step 2: Find the prime factorization of 8754

8754 = 2 x 3 x 1459

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 8754 is 1