Greatest Common Factor of 4520 and 4525

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 4520, 4525 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4520 and 4525 is 5.

GCF(4520,4525) = 5

GCF of 4520 and 4525

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

GCF of:
and

Greatest Common Factor of 4520 and 4525

GCF of 4520 and 4525 is 5

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

Prime Factorization of 4525


5 4525
5 905
181 181
1

Prime factors of 4525 are 5,181. Prime factorization of 4525 in exponential form is:

4525 = 52×1811

∴ So by taking common prime factors GCF of 4520 and 4525 is 5

Greatest Common Factor of 4520 and 4525 by matching factors method

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

Factors of 4525

List of positive integer factors of 4525 that divides 4525 without a remainder.

1,5,25,181,905,4525

Greatest Common Factor

We found the factors and prime factorization of 4520 and 4525. The biggest common factor number is the GCF number.
So the greatest common factor 4520 and 4525 is 5.

Also check out the Least Common Multiple of 4520 and 4525

Properties of GCF 4520 and 4525

(i) The GCF of 4520 and 4525 is associative

GCF of 4520 and 4525 = GCF of 4525 and 4520

Related Greatest Common Factor of 4520

Related Greatest Common Factor of 4525

Frequently Asked Questions on GCF of 4520 and 4525

1. What is the GCF of 4520 and 4525?

Answer: GCF of 4520 and 4525 is 5.

2. 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.

3. What are the Factors of 4525?

Answer: Factors of 4525 are 1, 5, 25, 181, 905, 4525. There are 6 integers that are factors of 4525. The greatest factor of 4525 is 4525.

4. How to Find the GCF of 4520 and 4525?

Answer:

Greatest Common Factor of 4520 and 4525 = 5

Step 1: Find the prime factorization of 4520

4520 = 2 x 2 x 2 x 5 x 113

Step 2: Find the prime factorization of 4525

4525 = 5 x 5 x 181

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

GCF = 5

Step 4: Therefore, the greatest common factor of 4520 and 4525 is 5