Greatest Common Factor of 1536 and 1541

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 1536, 1541 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1536 and 1541 is 1.

GCF(1536,1541) = 1

GCF of 1536 and 1541

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

GCF of:
and

Greatest Common Factor of 1536 and 1541

GCF of 1536 and 1541 is 1

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

Prime Factorization of 1541


23 1541
67 67
1

Prime factors of 1541 are 23,67. Prime factorization of 1541 in exponential form is:

1541 = 231×671

∴ So by taking common prime factors GCF of 1536 and 1541 is 1

Greatest Common Factor of 1536 and 1541 by matching factors method

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

Factors of 1541

List of positive integer factors of 1541 that divides 1541 without a remainder.

1,23,67,1541

Greatest Common Factor

We found the factors and prime factorization of 1536 and 1541. The biggest common factor number is the GCF number.
So the greatest common factor 1536 and 1541 is 1.

Also check out the Least Common Multiple of 1536 and 1541

Properties of GCF 1536 and 1541

(i) The GCF of 1536 and 1541 is associative

GCF of 1536 and 1541 = GCF of 1541 and 1536

Related Greatest Common Factor of 1536

Related Greatest Common Factor of 1541

Frequently Asked Questions on GCF of 1536 and 1541

1. What is the GCF of 1536 and 1541?

Answer: GCF of 1536 and 1541 is 1.

2. 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.

3. What are the Factors of 1541?

Answer: Factors of 1541 are 1, 23, 67, 1541. There are 4 integers that are factors of 1541. The greatest factor of 1541 is 1541.

4. How to Find the GCF of 1536 and 1541?

Answer:

Greatest Common Factor of 1536 and 1541 = 1

Step 1: 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 2: Find the prime factorization of 1541

1541 = 23 x 67

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 1536 and 1541 is 1