Greatest Common Factor of 1534 and 1540

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 1534, 1540 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1534 and 1540 is 2.

GCF(1534,1540) = 2

GCF of 1534 and 1540

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

GCF of:
and

Greatest Common Factor of 1534 and 1540

GCF of 1534 and 1540 is 2

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

Prime Factorization of 1540


2 1540
2 770
5 385
7 77
11 11
1

Prime factors of 1540 are 2,5,7,11. Prime factorization of 1540 in exponential form is:

1540 = 22×51×71×111

∴ So by taking common prime factors GCF of 1534 and 1540 is 2

Greatest Common Factor of 1534 and 1540 by matching factors method

Factors of 1534

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

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

Factors of 1540

List of positive integer factors of 1540 that divides 1540 without a remainder.

1,2,4,5,7,10,11,14,20,22,28,35,44,55,70,77,110,140,154,220,308,385,770,1540

Greatest Common Factor

We found the factors and prime factorization of 1534 and 1540. The biggest common factor number is the GCF number.
So the greatest common factor 1534 and 1540 is 2.

Also check out the Least Common Multiple of 1534 and 1540

Properties of GCF 1534 and 1540

(i) The GCF of 1534 and 1540 is associative

GCF of 1534 and 1540 = GCF of 1540 and 1534

Related Greatest Common Factor of 1534

Related Greatest Common Factor of 1540

Frequently Asked Questions on GCF of 1534 and 1540

1. What is the GCF of 1534 and 1540?

Answer: GCF of 1534 and 1540 is 2.

2. 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.

3. What are the Factors of 1540?

Answer: Factors of 1540 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540. There are 24 integers that are factors of 1540. The greatest factor of 1540 is 1540.

4. How to Find the GCF of 1534 and 1540?

Answer:

Greatest Common Factor of 1534 and 1540 = 2

Step 1: Find the prime factorization of 1534

1534 = 2 x 13 x 59

Step 2: Find the prime factorization of 1540

1540 = 2 x 2 x 5 x 7 x 11

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 1534 and 1540 is 2