Greatest Common Factor of 1523 and 1530

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 1523, 1530 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1523 and 1530 is 1.

GCF(1523,1530) = 1

GCF of 1523 and 1530

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

GCF of:
and

Greatest Common Factor of 1523 and 1530

GCF of 1523 and 1530 is 1

Prime Factorization of 1523


1523 1523
1

Prime factors of 1523 are 1523. Prime factorization of 1523 in exponential form is:

1523 = 15231

Prime Factorization of 1530


2 1530
3 765
3 255
5 85
17 17
1

Prime factors of 1530 are 2.Prime factorization of 1530 in exponential form is:

1530 = 21×32×51×171

∴ So by taking common prime factors GCF of 1523 and 1530 is 1

Greatest Common Factor of 1523 and 1530 by matching factors method

Factors of 1523

List of positive integer factors of 1523 that divides 1523 without a remainder.

1,1523

Factors of 1530

List of positive integer factors of 1530 that divides 1530 without a remainder.

1,2,3,5,6,9,10,15,17,18,30,34,45,51,85,90,102,153,170,255,306,510,765,1530

Greatest Common Factor

We found the factors and prime factorization of 1523 and 1530. The biggest common factor number is the GCF number.
So the greatest common factor 1523 and 1530 is 1.

Also check out the Least Common Multiple of 1523 and 1530

Properties of GCF 1523 and 1530

(i) The GCF of 1523 and 1530 is associative

GCF of 1523 and 1530 = GCF of 1530 and 1523

Related Greatest Common Factor of 1523

Related Greatest Common Factor of 1530

Frequently Asked Questions on GCF of 1523 and 1530

1. What is the GCF of 1523 and 1530?

Answer: GCF of 1523 and 1530 is 1.

2. What are the Factors of 1523?

Answer: Factors of 1523 are 1, 1523. There are 2 integers that are factors of 1523. The greatest factor of 1523 is 1523.

3. What are the Factors of 1530?

Answer: Factors of 1530 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 85, 90, 102, 153, 170, 255, 306, 510, 765, 1530. There are 24 integers that are factors of 1530. The greatest factor of 1530 is 1530.

4. How to Find the GCF of 1523 and 1530?

Answer:

Greatest Common Factor of 1523 and 1530 = 1

Step 1: Find the prime factorization of 1523

1523 = 1523

Step 2: Find the prime factorization of 1530

1530 = 2 x 3 x 3 x 5 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 1523 and 1530 is 1