Greatest Common Factor of 1569 and 1572

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 1569, 1572 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1569 and 1572 is 3.

GCF(1569,1572) = 3

GCF of 1569 and 1572

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

GCF of:
and

Greatest Common Factor of 1569 and 1572

GCF of 1569 and 1572 is 3

Prime Factorization of 1569


3 1569
523 523
1

Prime factors of 1569 are 3,523. Prime factorization of 1569 in exponential form is:

1569 = 31×5231

Prime Factorization of 1572


2 1572
2 786
3 393
131 131
1

Prime factors of 1572 are 2,3,131. Prime factorization of 1572 in exponential form is:

1572 = 22×31×1311

∴ So by taking common prime factors GCF of 1569 and 1572 is 3

Greatest Common Factor of 1569 and 1572 by matching factors method

Factors of 1569

List of positive integer factors of 1569 that divides 1569 without a remainder.

1,3,523,1569

Factors of 1572

List of positive integer factors of 1572 that divides 1572 without a remainder.

1,2,3,4,6,12,131,262,393,524,786,1572

Greatest Common Factor

We found the factors and prime factorization of 1569 and 1572. The biggest common factor number is the GCF number.
So the greatest common factor 1569 and 1572 is 3.

Also check out the Least Common Multiple of 1569 and 1572

Properties of GCF 1569 and 1572

(i) The GCF of 1569 and 1572 is associative

GCF of 1569 and 1572 = GCF of 1572 and 1569

Related Greatest Common Factor of 1569

Related Greatest Common Factor of 1572

Frequently Asked Questions on GCF of 1569 and 1572

1. What is the GCF of 1569 and 1572?

Answer: GCF of 1569 and 1572 is 3.

2. What are the Factors of 1569?

Answer: Factors of 1569 are 1, 3, 523, 1569. There are 4 integers that are factors of 1569. The greatest factor of 1569 is 1569.

3. What are the Factors of 1572?

Answer: Factors of 1572 are 1, 2, 3, 4, 6, 12, 131, 262, 393, 524, 786, 1572. There are 12 integers that are factors of 1572. The greatest factor of 1572 is 1572.

4. How to Find the GCF of 1569 and 1572?

Answer:

Greatest Common Factor of 1569 and 1572 = 3

Step 1: Find the prime factorization of 1569

1569 = 3 x 523

Step 2: Find the prime factorization of 1572

1572 = 2 x 2 x 3 x 131

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 1569 and 1572 is 3