Greatest Common Factor of 1540 and 1548

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 1540, 1548 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1540 and 1548 is 4.

GCF(1540,1548) = 4

GCF of 1540 and 1548

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

GCF of:
and

Greatest Common Factor of 1540 and 1548

GCF of 1540 and 1548 is 4

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

Prime Factorization of 1548


2 1548
2 774
3 387
3 129
43 43
1

Prime factors of 1548 are 2,3,43. Prime factorization of 1548 in exponential form is:

1548 = 22×32×431

∴ So by taking common prime factors GCF of 1540 and 1548 is 4

Greatest Common Factor of 1540 and 1548 by matching factors method

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

Factors of 1548

List of positive integer factors of 1548 that divides 1548 without a remainder.

1,2,3,4,6,9,12,18,36,43,86,129,172,258,387,516,774,1548

Greatest Common Factor

We found the factors and prime factorization of 1540 and 1548. The biggest common factor number is the GCF number.
So the greatest common factor 1540 and 1548 is 4.

Also check out the Least Common Multiple of 1540 and 1548

Properties of GCF 1540 and 1548

(i) The GCF of 1540 and 1548 is associative

GCF of 1540 and 1548 = GCF of 1548 and 1540

Related Greatest Common Factor of 1540

Related Greatest Common Factor of 1548

Frequently Asked Questions on GCF of 1540 and 1548

1. What is the GCF of 1540 and 1548?

Answer: GCF of 1540 and 1548 is 4.

2. 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.

3. What are the Factors of 1548?

Answer: Factors of 1548 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 43, 86, 129, 172, 258, 387, 516, 774, 1548. There are 18 integers that are factors of 1548. The greatest factor of 1548 is 1548.

4. How to Find the GCF of 1540 and 1548?

Answer:

Greatest Common Factor of 1540 and 1548 = 4

Step 1: Find the prime factorization of 1540

1540 = 2 x 2 x 5 x 7 x 11

Step 2: Find the prime factorization of 1548

1548 = 2 x 2 x 3 x 3 x 43

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1540 and 1548 is 4