Greatest Common Factor of 9492 and 9495

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 9492, 9495 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9492 and 9495 is 3.

GCF(9492,9495) = 3

GCF of 9492 and 9495

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

GCF of:
and

Greatest Common Factor of 9492 and 9495

GCF of 9492 and 9495 is 3

Prime Factorization of 9492


2 9492
2 4746
3 2373
7 791
113 113
1

Prime factors of 9492 are 2,3,7,113. Prime factorization of 9492 in exponential form is:

9492 = 22×31×71×1131

Prime Factorization of 9495


3 9495
3 3165
5 1055
211 211
1

Prime factors of 9495 are 3,5,211. Prime factorization of 9495 in exponential form is:

9495 = 32×51×2111

∴ So by taking common prime factors GCF of 9492 and 9495 is 3

Greatest Common Factor of 9492 and 9495 by matching factors method

Factors of 9492

List of positive integer factors of 9492 that divides 9492 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,113,226,339,452,678,791,1356,1582,2373,3164,4746,9492

Factors of 9495

List of positive integer factors of 9495 that divides 9495 without a remainder.

1,3,5,9,15,45,211,633,1055,1899,3165,9495

Greatest Common Factor

We found the factors and prime factorization of 9492 and 9495. The biggest common factor number is the GCF number.
So the greatest common factor 9492 and 9495 is 3.

Also check out the Least Common Multiple of 9492 and 9495

Properties of GCF 9492 and 9495

(i) The GCF of 9492 and 9495 is associative

GCF of 9492 and 9495 = GCF of 9495 and 9492

Related Greatest Common Factor of 9492

Related Greatest Common Factor of 9495

Frequently Asked Questions on GCF of 9492 and 9495

1. What is the GCF of 9492 and 9495?

Answer: GCF of 9492 and 9495 is 3.

2. What are the Factors of 9492?

Answer: Factors of 9492 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 113, 226, 339, 452, 678, 791, 1356, 1582, 2373, 3164, 4746, 9492. There are 24 integers that are factors of 9492. The greatest factor of 9492 is 9492.

3. What are the Factors of 9495?

Answer: Factors of 9495 are 1, 3, 5, 9, 15, 45, 211, 633, 1055, 1899, 3165, 9495. There are 12 integers that are factors of 9495. The greatest factor of 9495 is 9495.

4. How to Find the GCF of 9492 and 9495?

Answer:

Greatest Common Factor of 9492 and 9495 = 3

Step 1: Find the prime factorization of 9492

9492 = 2 x 2 x 3 x 7 x 113

Step 2: Find the prime factorization of 9495

9495 = 3 x 3 x 5 x 211

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

GCF = 3

Step 4: Therefore, the greatest common factor of 9492 and 9495 is 3