Greatest Common Factor of 1532 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 1532, 1536 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1532 and 1536 is 4.

GCF(1532,1536) = 4

GCF of 1532 and 1536

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

GCF of:
and

Greatest Common Factor of 1532 and 1536

GCF of 1532 and 1536 is 4

Prime Factorization of 1532


2 1532
2 766
383 383
1

Prime factors of 1532 are 2,383. Prime factorization of 1532 in exponential form is:

1532 = 22×3831

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 1532 and 1536 is 4

Greatest Common Factor of 1532 and 1536 by matching factors method

Factors of 1532

List of positive integer factors of 1532 that divides 1532 without a remainder.

1,2,4,383,766,1532

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 1532 and 1536. The biggest common factor number is the GCF number.
So the greatest common factor 1532 and 1536 is 4.

Also check out the Least Common Multiple of 1532 and 1536

Properties of GCF 1532 and 1536

(i) The GCF of 1532 and 1536 is associative

GCF of 1532 and 1536 = GCF of 1536 and 1532

Related Greatest Common Factor of 1532

Related Greatest Common Factor of 1536

Frequently Asked Questions on GCF of 1532 and 1536

1. What is the GCF of 1532 and 1536?

Answer: GCF of 1532 and 1536 is 4.

2. What are the Factors of 1532?

Answer: Factors of 1532 are 1, 2, 4, 383, 766, 1532. There are 6 integers that are factors of 1532. The greatest factor of 1532 is 1532.

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 1532 and 1536?

Answer:

Greatest Common Factor of 1532 and 1536 = 4

Step 1: Find the prime factorization of 1532

1532 = 2 x 2 x 383

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 = 4

Step 4: Therefore, the greatest common factor of 1532 and 1536 is 4