Greatest Common Factor of 4528 and 4534

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 4528, 4534 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4528 and 4534 is 2.

GCF(4528,4534) = 2

GCF of 4528 and 4534

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

GCF of:
and

Greatest Common Factor of 4528 and 4534

GCF of 4528 and 4534 is 2

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

Prime Factorization of 4534


2 4534
2267 2267
1

Prime factors of 4534 are 2,2267. Prime factorization of 4534 in exponential form is:

4534 = 21×22671

∴ So by taking common prime factors GCF of 4528 and 4534 is 2

Greatest Common Factor of 4528 and 4534 by matching factors method

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

Factors of 4534

List of positive integer factors of 4534 that divides 4534 without a remainder.

1,2,2267,4534

Greatest Common Factor

We found the factors and prime factorization of 4528 and 4534. The biggest common factor number is the GCF number.
So the greatest common factor 4528 and 4534 is 2.

Also check out the Least Common Multiple of 4528 and 4534

Properties of GCF 4528 and 4534

(i) The GCF of 4528 and 4534 is associative

GCF of 4528 and 4534 = GCF of 4534 and 4528

Related Greatest Common Factor of 4528

Related Greatest Common Factor of 4534

Frequently Asked Questions on GCF of 4528 and 4534

1. What is the GCF of 4528 and 4534?

Answer: GCF of 4528 and 4534 is 2.

2. 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.

3. What are the Factors of 4534?

Answer: Factors of 4534 are 1, 2, 2267, 4534. There are 4 integers that are factors of 4534. The greatest factor of 4534 is 4534.

4. How to Find the GCF of 4528 and 4534?

Answer:

Greatest Common Factor of 4528 and 4534 = 2

Step 1: Find the prime factorization of 4528

4528 = 2 x 2 x 2 x 2 x 283

Step 2: Find the prime factorization of 4534

4534 = 2 x 2267

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 4528 and 4534 is 2