Greatest Common Factor of 9754 and 9762

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 9754, 9762 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9754 and 9762 is 2.

GCF(9754,9762) = 2

GCF of 9754 and 9762

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

GCF of:
and

Greatest Common Factor of 9754 and 9762

GCF of 9754 and 9762 is 2

Prime Factorization of 9754


2 9754
4877 4877
1

Prime factors of 9754 are 2,4877. Prime factorization of 9754 in exponential form is:

9754 = 21×48771

Prime Factorization of 9762


2 9762
3 4881
1627 1627
1

Prime factors of 9762 are 2,3,1627. Prime factorization of 9762 in exponential form is:

9762 = 21×31×16271

∴ So by taking common prime factors GCF of 9754 and 9762 is 2

Greatest Common Factor of 9754 and 9762 by matching factors method

Factors of 9754

List of positive integer factors of 9754 that divides 9754 without a remainder.

1,2,4877,9754

Factors of 9762

List of positive integer factors of 9762 that divides 9762 without a remainder.

1,2,3,6,1627,3254,4881,9762

Greatest Common Factor

We found the factors and prime factorization of 9754 and 9762. The biggest common factor number is the GCF number.
So the greatest common factor 9754 and 9762 is 2.

Also check out the Least Common Multiple of 9754 and 9762

Properties of GCF 9754 and 9762

(i) The GCF of 9754 and 9762 is associative

GCF of 9754 and 9762 = GCF of 9762 and 9754

Related Greatest Common Factor of 9754

Related Greatest Common Factor of 9762

Frequently Asked Questions on GCF of 9754 and 9762

1. What is the GCF of 9754 and 9762?

Answer: GCF of 9754 and 9762 is 2.

2. What are the Factors of 9754?

Answer: Factors of 9754 are 1, 2, 4877, 9754. There are 4 integers that are factors of 9754. The greatest factor of 9754 is 9754.

3. What are the Factors of 9762?

Answer: Factors of 9762 are 1, 2, 3, 6, 1627, 3254, 4881, 9762. There are 8 integers that are factors of 9762. The greatest factor of 9762 is 9762.

4. How to Find the GCF of 9754 and 9762?

Answer:

Greatest Common Factor of 9754 and 9762 = 2

Step 1: Find the prime factorization of 9754

9754 = 2 x 4877

Step 2: Find the prime factorization of 9762

9762 = 2 x 3 x 1627

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9754 and 9762 is 2