Greatest Common Factor of 4514 and 4520

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 4514, 4520 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4514 and 4520 is 2.

GCF(4514,4520) = 2

GCF of 4514 and 4520

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

GCF of:
and

Greatest Common Factor of 4514 and 4520

GCF of 4514 and 4520 is 2

Prime Factorization of 4514


2 4514
37 2257
61 61
1

Prime factors of 4514 are 2,37,61. Prime factorization of 4514 in exponential form is:

4514 = 21×371×611

Prime Factorization of 4520


2 4520
2 2260
2 1130
5 565
113 113
1

Prime factors of 4520 are 2,5,113. Prime factorization of 4520 in exponential form is:

4520 = 23×51×1131

∴ So by taking common prime factors GCF of 4514 and 4520 is 2

Greatest Common Factor of 4514 and 4520 by matching factors method

Factors of 4514

List of positive integer factors of 4514 that divides 4514 without a remainder.

1,2,37,61,74,122,2257,4514

Factors of 4520

List of positive integer factors of 4520 that divides 4520 without a remainder.

1,2,4,5,8,10,20,40,113,226,452,565,904,1130,2260,4520

Greatest Common Factor

We found the factors and prime factorization of 4514 and 4520. The biggest common factor number is the GCF number.
So the greatest common factor 4514 and 4520 is 2.

Also check out the Least Common Multiple of 4514 and 4520

Properties of GCF 4514 and 4520

(i) The GCF of 4514 and 4520 is associative

GCF of 4514 and 4520 = GCF of 4520 and 4514

Related Greatest Common Factor of 4514

Related Greatest Common Factor of 4520

Frequently Asked Questions on GCF of 4514 and 4520

1. What is the GCF of 4514 and 4520?

Answer: GCF of 4514 and 4520 is 2.

2. What are the Factors of 4514?

Answer: Factors of 4514 are 1, 2, 37, 61, 74, 122, 2257, 4514. There are 8 integers that are factors of 4514. The greatest factor of 4514 is 4514.

3. What are the Factors of 4520?

Answer: Factors of 4520 are 1, 2, 4, 5, 8, 10, 20, 40, 113, 226, 452, 565, 904, 1130, 2260, 4520. There are 16 integers that are factors of 4520. The greatest factor of 4520 is 4520.

4. How to Find the GCF of 4514 and 4520?

Answer:

Greatest Common Factor of 4514 and 4520 = 2

Step 1: Find the prime factorization of 4514

4514 = 2 x 37 x 61

Step 2: Find the prime factorization of 4520

4520 = 2 x 2 x 2 x 5 x 113

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 4514 and 4520 is 2