Greatest Common Factor of 4520 and 4528

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, 4528 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4520 and 4528 is 8.

GCF(4520,4528) = 8

GCF of 4520 and 4528

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

GCF of:
and

Greatest Common Factor of 4520 and 4528

GCF of 4520 and 4528 is 8

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 4528


2 4528
2 2264
2 1132
2 566
283 283
1

Prime factors of 4528 are 2,283. Prime factorization of 4528 in exponential form is:

4528 = 24×2831

∴ So by taking common prime factors GCF of 4520 and 4528 is 8

Greatest Common Factor of 4520 and 4528 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 4528

List of positive integer factors of 4528 that divides 4528 without a remainder.

1,2,4,8,16,283,566,1132,2264,4528

Greatest Common Factor

We found the factors and prime factorization of 4520 and 4528. The biggest common factor number is the GCF number.
So the greatest common factor 4520 and 4528 is 8.

Also check out the Least Common Multiple of 4520 and 4528

Properties of GCF 4520 and 4528

(i) The GCF of 4520 and 4528 is associative

GCF of 4520 and 4528 = GCF of 4528 and 4520

Related Greatest Common Factor of 4520

Related Greatest Common Factor of 4528

Frequently Asked Questions on GCF of 4520 and 4528

1. What is the GCF of 4520 and 4528?

Answer: GCF of 4520 and 4528 is 8.

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 4528?

Answer: Factors of 4528 are 1, 2, 4, 8, 16, 283, 566, 1132, 2264, 4528. There are 10 integers that are factors of 4528. The greatest factor of 4528 is 4528.

4. How to Find the GCF of 4520 and 4528?

Answer:

Greatest Common Factor of 4520 and 4528 = 8

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 4528

4528 = 2 x 2 x 2 x 2 x 283

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4520 and 4528 is 8