Greatest Common Factor of 9514 and 9522

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 9514, 9522 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9514 and 9522 is 2.

GCF(9514,9522) = 2

GCF of 9514 and 9522

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

GCF of:
and

Greatest Common Factor of 9514 and 9522

GCF of 9514 and 9522 is 2

Prime Factorization of 9514


2 9514
67 4757
71 71
1

Prime factors of 9514 are 2,67,71. Prime factorization of 9514 in exponential form is:

9514 = 21×671×711

Prime Factorization of 9522


2 9522
3 4761
3 1587
23 529
23 23
1

Prime factors of 9522 are 2,3,23. Prime factorization of 9522 in exponential form is:

9522 = 21×32×232

∴ So by taking common prime factors GCF of 9514 and 9522 is 2

Greatest Common Factor of 9514 and 9522 by matching factors method

Factors of 9514

List of positive integer factors of 9514 that divides 9514 without a remainder.

1,2,67,71,134,142,4757,9514

Factors of 9522

List of positive integer factors of 9522 that divides 9522 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414,529,1058,1587,3174,4761,9522

Greatest Common Factor

We found the factors and prime factorization of 9514 and 9522. The biggest common factor number is the GCF number.
So the greatest common factor 9514 and 9522 is 2.

Also check out the Least Common Multiple of 9514 and 9522

Properties of GCF 9514 and 9522

(i) The GCF of 9514 and 9522 is associative

GCF of 9514 and 9522 = GCF of 9522 and 9514

Related Greatest Common Factor of 9514

Related Greatest Common Factor of 9522

Frequently Asked Questions on GCF of 9514 and 9522

1. What is the GCF of 9514 and 9522?

Answer: GCF of 9514 and 9522 is 2.

2. What are the Factors of 9514?

Answer: Factors of 9514 are 1, 2, 67, 71, 134, 142, 4757, 9514. There are 8 integers that are factors of 9514. The greatest factor of 9514 is 9514.

3. What are the Factors of 9522?

Answer: Factors of 9522 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414, 529, 1058, 1587, 3174, 4761, 9522. There are 18 integers that are factors of 9522. The greatest factor of 9522 is 9522.

4. How to Find the GCF of 9514 and 9522?

Answer:

Greatest Common Factor of 9514 and 9522 = 2

Step 1: Find the prime factorization of 9514

9514 = 2 x 67 x 71

Step 2: Find the prime factorization of 9522

9522 = 2 x 3 x 3 x 23 x 23

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 9514 and 9522 is 2