Greatest Common Factor of 1526 and 1534

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, 1534 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1526 and 1534 is 2.

GCF(1526,1534) = 2

GCF of 1526 and 1534

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

GCF of:
and

Greatest Common Factor of 1526 and 1534

GCF of 1526 and 1534 is 2

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 1534


2 1534
13 767
59 59
1

Prime factors of 1534 are 2,13,59. Prime factorization of 1534 in exponential form is:

1534 = 21×131×591

∴ So by taking common prime factors GCF of 1526 and 1534 is 2

Greatest Common Factor of 1526 and 1534 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 1534

List of positive integer factors of 1534 that divides 1534 without a remainder.

1,2,13,26,59,118,767,1534

Greatest Common Factor

We found the factors and prime factorization of 1526 and 1534. The biggest common factor number is the GCF number.
So the greatest common factor 1526 and 1534 is 2.

Also check out the Least Common Multiple of 1526 and 1534

Properties of GCF 1526 and 1534

(i) The GCF of 1526 and 1534 is associative

GCF of 1526 and 1534 = GCF of 1534 and 1526

Related Greatest Common Factor of 1526

Related Greatest Common Factor of 1534

Frequently Asked Questions on GCF of 1526 and 1534

1. What is the GCF of 1526 and 1534?

Answer: GCF of 1526 and 1534 is 2.

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 1534?

Answer: Factors of 1534 are 1, 2, 13, 26, 59, 118, 767, 1534. There are 8 integers that are factors of 1534. The greatest factor of 1534 is 1534.

4. How to Find the GCF of 1526 and 1534?

Answer:

Greatest Common Factor of 1526 and 1534 = 2

Step 1: Find the prime factorization of 1526

1526 = 2 x 7 x 109

Step 2: Find the prime factorization of 1534

1534 = 2 x 13 x 59

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 1526 and 1534 is 2