Greatest Common Factor of 4523 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 4523, 4528 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4523 and 4528 is 1.

GCF(4523,4528) = 1

GCF of 4523 and 4528

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

GCF of:
and

Greatest Common Factor of 4523 and 4528

GCF of 4523 and 4528 is 1

Prime Factorization of 4523


4523 4523
1

Prime factors of 4523 are 4523. Prime factorization of 4523 in exponential form is:

4523 = 45231

Prime Factorization of 4528


2 4528
2 2264
2 1132
2 566
283 283
1

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

4528 = 24×2831

∴ So by taking common prime factors GCF of 4523 and 4528 is 1

Greatest Common Factor of 4523 and 4528 by matching factors method

Factors of 4523

List of positive integer factors of 4523 that divides 4523 without a remainder.

1,4523

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 4523 and 4528. The biggest common factor number is the GCF number.
So the greatest common factor 4523 and 4528 is 1.

Also check out the Least Common Multiple of 4523 and 4528

Properties of GCF 4523 and 4528

(i) The GCF of 4523 and 4528 is associative

GCF of 4523 and 4528 = GCF of 4528 and 4523

Related Greatest Common Factor of 4523

Related Greatest Common Factor of 4528

Frequently Asked Questions on GCF of 4523 and 4528

1. What is the GCF of 4523 and 4528?

Answer: GCF of 4523 and 4528 is 1.

2. What are the Factors of 4523?

Answer: Factors of 4523 are 1, 4523. There are 2 integers that are factors of 4523. The greatest factor of 4523 is 4523.

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 4523 and 4528?

Answer:

Greatest Common Factor of 4523 and 4528 = 1

Step 1: Find the prime factorization of 4523

4523 = 4523

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 = = 1

Step 4: Therefore, the greatest common factor of 4523 and 4528 is 1