Greatest Common Factor of 9514 and 9520

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, 9520 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9514 and 9520 is 2.

GCF(9514,9520) = 2

GCF of 9514 and 9520

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

GCF of:
and

Greatest Common Factor of 9514 and 9520

GCF of 9514 and 9520 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 9520


2 9520
2 4760
2 2380
2 1190
5 595
7 119
17 17
1

Prime factors of 9520 are 2,5,7,17. Prime factorization of 9520 in exponential form is:

9520 = 24×51×71×171

∴ So by taking common prime factors GCF of 9514 and 9520 is 2

Greatest Common Factor of 9514 and 9520 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 9520

List of positive integer factors of 9520 that divides 9520 without a remainder.

1,2,4,5,7,8,10,14,16,17,20,28,34,35,40,56,68,70,80,85,112,119,136,140,170,238,272,280,340,476,560,595,680,952,1190,1360,1904,2380,4760,9520

Greatest Common Factor

We found the factors and prime factorization of 9514 and 9520. The biggest common factor number is the GCF number.
So the greatest common factor 9514 and 9520 is 2.

Also check out the Least Common Multiple of 9514 and 9520

Properties of GCF 9514 and 9520

(i) The GCF of 9514 and 9520 is associative

GCF of 9514 and 9520 = GCF of 9520 and 9514

Related Greatest Common Factor of 9514

Related Greatest Common Factor of 9520

Frequently Asked Questions on GCF of 9514 and 9520

1. What is the GCF of 9514 and 9520?

Answer: GCF of 9514 and 9520 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 9520?

Answer: Factors of 9520 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760, 9520. There are 40 integers that are factors of 9520. The greatest factor of 9520 is 9520.

4. How to Find the GCF of 9514 and 9520?

Answer:

Greatest Common Factor of 9514 and 9520 = 2

Step 1: Find the prime factorization of 9514

9514 = 2 x 67 x 71

Step 2: Find the prime factorization of 9520

9520 = 2 x 2 x 2 x 2 x 5 x 7 x 17

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 9520 is 2