Greatest Common Factor of 1522 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 1522, 1530 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1522 and 1530 is 2.

GCF(1522,1530) = 2

GCF of 1522 and 1530

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

GCF of:
and

Greatest Common Factor of 1522 and 1530

GCF of 1522 and 1530 is 2

Prime Factorization of 1522


2 1522
761 761
1

Prime factors of 1522 are 2,761. Prime factorization of 1522 in exponential form is:

1522 = 21×7611

Prime Factorization of 1530


2 1530
3 765
3 255
5 85
17 17
1

Prime factors of 1530 are 2,3,5,17. Prime factorization of 1530 in exponential form is:

1530 = 21×32×51×171

∴ So by taking common prime factors GCF of 1522 and 1530 is 2

Greatest Common Factor of 1522 and 1530 by matching factors method

Factors of 1522

List of positive integer factors of 1522 that divides 1522 without a remainder.

1,2,761,1522

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 1522 and 1530. The biggest common factor number is the GCF number.
So the greatest common factor 1522 and 1530 is 2.

Also check out the Least Common Multiple of 1522 and 1530

Properties of GCF 1522 and 1530

(i) The GCF of 1522 and 1530 is associative

GCF of 1522 and 1530 = GCF of 1530 and 1522

Related Greatest Common Factor of 1522

Related Greatest Common Factor of 1530

Frequently Asked Questions on GCF of 1522 and 1530

1. What is the GCF of 1522 and 1530?

Answer: GCF of 1522 and 1530 is 2.

2. What are the Factors of 1522?

Answer: Factors of 1522 are 1, 2, 761, 1522. There are 4 integers that are factors of 1522. The greatest factor of 1522 is 1522.

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 1522 and 1530?

Answer:

Greatest Common Factor of 1522 and 1530 = 2

Step 1: Find the prime factorization of 1522

1522 = 2 x 761

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 = 2

Step 4: Therefore, the greatest common factor of 1522 and 1530 is 2