Greatest Common Factor of 1528 and 1536

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 1528, 1536 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1528 and 1536 is 8.

GCF(1528,1536) = 8

GCF of 1528 and 1536

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

GCF of:
and

Greatest Common Factor of 1528 and 1536

GCF of 1528 and 1536 is 8

Prime Factorization of 1528


2 1528
2 764
2 382
191 191
1

Prime factors of 1528 are 2,191. Prime factorization of 1528 in exponential form is:

1528 = 23×1911

Prime Factorization of 1536


2 1536
2 768
2 384
2 192
2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 1536 are 2,3. Prime factorization of 1536 in exponential form is:

1536 = 29×31

∴ So by taking common prime factors GCF of 1528 and 1536 is 8

Greatest Common Factor of 1528 and 1536 by matching factors method

Factors of 1528

List of positive integer factors of 1528 that divides 1528 without a remainder.

1,2,4,8,191,382,764,1528

Factors of 1536

List of positive integer factors of 1536 that divides 1536 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1536

Greatest Common Factor

We found the factors and prime factorization of 1528 and 1536. The biggest common factor number is the GCF number.
So the greatest common factor 1528 and 1536 is 8.

Also check out the Least Common Multiple of 1528 and 1536

Properties of GCF 1528 and 1536

(i) The GCF of 1528 and 1536 is associative

GCF of 1528 and 1536 = GCF of 1536 and 1528

Related Greatest Common Factor of 1528

Related Greatest Common Factor of 1536

Frequently Asked Questions on GCF of 1528 and 1536

1. What is the GCF of 1528 and 1536?

Answer: GCF of 1528 and 1536 is 8.

2. What are the Factors of 1528?

Answer: Factors of 1528 are 1, 2, 4, 8, 191, 382, 764, 1528. There are 8 integers that are factors of 1528. The greatest factor of 1528 is 1528.

3. What are the Factors of 1536?

Answer: Factors of 1536 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1536. There are 20 integers that are factors of 1536. The greatest factor of 1536 is 1536.

4. How to Find the GCF of 1528 and 1536?

Answer:

Greatest Common Factor of 1528 and 1536 = 8

Step 1: Find the prime factorization of 1528

1528 = 2 x 2 x 2 x 191

Step 2: Find the prime factorization of 1536

1536 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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 1528 and 1536 is 8