Greatest Common Factor of 9485 and 9492

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 9485, 9492 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9485 and 9492 is 7.

GCF(9485,9492) = 7

GCF of 9485 and 9492

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

GCF of:
and

Greatest Common Factor of 9485 and 9492

GCF of 9485 and 9492 is 7

Prime Factorization of 9485


5 9485
7 1897
271 271
1

Prime factors of 9485 are 5,7,271. Prime factorization of 9485 in exponential form is:

9485 = 51×71×2711

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

∴ So by taking common prime factors GCF of 9485 and 9492 is 7

Greatest Common Factor of 9485 and 9492 by matching factors method

Factors of 9485

List of positive integer factors of 9485 that divides 9485 without a remainder.

1,5,7,35,271,1355,1897,9485

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

Greatest Common Factor

We found the factors and prime factorization of 9485 and 9492. The biggest common factor number is the GCF number.
So the greatest common factor 9485 and 9492 is 7.

Also check out the Least Common Multiple of 9485 and 9492

Properties of GCF 9485 and 9492

(i) The GCF of 9485 and 9492 is associative

GCF of 9485 and 9492 = GCF of 9492 and 9485

Related Greatest Common Factor of 9485

Related Greatest Common Factor of 9492

Frequently Asked Questions on GCF of 9485 and 9492

1. What is the GCF of 9485 and 9492?

Answer: GCF of 9485 and 9492 is 7.

2. What are the Factors of 9485?

Answer: Factors of 9485 are 1, 5, 7, 35, 271, 1355, 1897, 9485. There are 8 integers that are factors of 9485. The greatest factor of 9485 is 9485.

3. 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.

4. How to Find the GCF of 9485 and 9492?

Answer:

Greatest Common Factor of 9485 and 9492 = 7

Step 1: Find the prime factorization of 9485

9485 = 5 x 7 x 271

Step 2: Find the prime factorization of 9492

9492 = 2 x 2 x 3 x 7 x 113

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

GCF = 7

Step 4: Therefore, the greatest common factor of 9485 and 9492 is 7