Greatest Common Factor of 1541 and 1547

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 1541, 1547 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1541 and 1547 is 1.

GCF(1541,1547) = 1

GCF of 1541 and 1547

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

GCF of:
and

Greatest Common Factor of 1541 and 1547

GCF of 1541 and 1547 is 1

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

Prime Factorization of 1547


7 1547
13 221
17 17
1

Prime factors of 1547 are 7,13,17. Prime factorization of 1547 in exponential form is:

1547 = 71×131×171

∴ So by taking common prime factors GCF of 1541 and 1547 is 1

Greatest Common Factor of 1541 and 1547 by matching factors method

Factors of 1541

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

1,23,67,1541

Factors of 1547

List of positive integer factors of 1547 that divides 1547 without a remainder.

1,7,13,17,91,119,221,1547

Greatest Common Factor

We found the factors and prime factorization of 1541 and 1547. The biggest common factor number is the GCF number.
So the greatest common factor 1541 and 1547 is 1.

Also check out the Least Common Multiple of 1541 and 1547

Properties of GCF 1541 and 1547

(i) The GCF of 1541 and 1547 is associative

GCF of 1541 and 1547 = GCF of 1547 and 1541

Related Greatest Common Factor of 1541

Related Greatest Common Factor of 1547

Frequently Asked Questions on GCF of 1541 and 1547

1. What is the GCF of 1541 and 1547?

Answer: GCF of 1541 and 1547 is 1.

2. 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.

3. What are the Factors of 1547?

Answer: Factors of 1547 are 1, 7, 13, 17, 91, 119, 221, 1547. There are 8 integers that are factors of 1547. The greatest factor of 1547 is 1547.

4. How to Find the GCF of 1541 and 1547?

Answer:

Greatest Common Factor of 1541 and 1547 = 1

Step 1: Find the prime factorization of 1541

1541 = 23 x 67

Step 2: Find the prime factorization of 1547

1547 = 7 x 13 x 17

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 1541 and 1547 is 1