Greatest Common Factor of 1526 and 1533

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 1526, 1533 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1526 and 1533 is 7.

GCF(1526,1533) = 7

GCF of 1526 and 1533

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

GCF of:
and

Greatest Common Factor of 1526 and 1533

GCF of 1526 and 1533 is 7

Prime Factorization of 1526


2 1526
7 763
109 109
1

Prime factors of 1526 are 2,7,109. Prime factorization of 1526 in exponential form is:

1526 = 21×71×1091

Prime Factorization of 1533


3 1533
7 511
73 73
1

Prime factors of 1533 are 3,7,73. Prime factorization of 1533 in exponential form is:

1533 = 31×71×731

∴ So by taking common prime factors GCF of 1526 and 1533 is 7

Greatest Common Factor of 1526 and 1533 by matching factors method

Factors of 1526

List of positive integer factors of 1526 that divides 1526 without a remainder.

1,2,7,14,109,218,763,1526

Factors of 1533

List of positive integer factors of 1533 that divides 1533 without a remainder.

1,3,7,21,73,219,511,1533

Greatest Common Factor

We found the factors and prime factorization of 1526 and 1533. The biggest common factor number is the GCF number.
So the greatest common factor 1526 and 1533 is 7.

Also check out the Least Common Multiple of 1526 and 1533

Properties of GCF 1526 and 1533

(i) The GCF of 1526 and 1533 is associative

GCF of 1526 and 1533 = GCF of 1533 and 1526

Related Greatest Common Factor of 1526

Related Greatest Common Factor of 1533

Frequently Asked Questions on GCF of 1526 and 1533

1. What is the GCF of 1526 and 1533?

Answer: GCF of 1526 and 1533 is 7.

2. What are the Factors of 1526?

Answer: Factors of 1526 are 1, 2, 7, 14, 109, 218, 763, 1526. There are 8 integers that are factors of 1526. The greatest factor of 1526 is 1526.

3. What are the Factors of 1533?

Answer: Factors of 1533 are 1, 3, 7, 21, 73, 219, 511, 1533. There are 8 integers that are factors of 1533. The greatest factor of 1533 is 1533.

4. How to Find the GCF of 1526 and 1533?

Answer:

Greatest Common Factor of 1526 and 1533 = 7

Step 1: Find the prime factorization of 1526

1526 = 2 x 7 x 109

Step 2: Find the prime factorization of 1533

1533 = 3 x 7 x 73

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

GCF = 7

Step 4: Therefore, the greatest common factor of 1526 and 1533 is 7