Greatest Common Factor of 1040 and 1048

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 1040, 1048 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1040 and 1048 is 8.

GCF(1040,1048) = 8

GCF of 1040 and 1048

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

GCF of:
and

Greatest Common Factor of 1040 and 1048

GCF of 1040 and 1048 is 8

Prime Factorization of 1040


2 1040
2 520
2 260
2 130
5 65
13 13
1

Prime factors of 1040 are 2,5,13. Prime factorization of 1040 in exponential form is:

1040 = 24×51×131

Prime Factorization of 1048


2 1048
2 524
2 262
131 131
1

Prime factors of 1048 are 2,131. Prime factorization of 1048 in exponential form is:

1048 = 23×1311

∴ So by taking common prime factors GCF of 1040 and 1048 is 8

Greatest Common Factor of 1040 and 1048 by matching factors method

Factors of 1040

List of positive integer factors of 1040 that divides 1040 without a remainder.

1,2,4,5,8,10,13,16,20,26,40,52,65,80,104,130,208,260,520,1040

Factors of 1048

List of positive integer factors of 1048 that divides 1048 without a remainder.

1,2,4,8,131,262,524,1048

Greatest Common Factor

We found the factors and prime factorization of 1040 and 1048. The biggest common factor number is the GCF number.
So the greatest common factor 1040 and 1048 is 8.

Also check out the Least Common Multiple of 1040 and 1048

Properties of GCF 1040 and 1048

(i) The GCF of 1040 and 1048 is associative

GCF of 1040 and 1048 = GCF of 1048 and 1040

Related Greatest Common Factor of 1040

Related Greatest Common Factor of 1048

Frequently Asked Questions on GCF of 1040 and 1048

1. What is the GCF of 1040 and 1048?

Answer: GCF of 1040 and 1048 is 8.

2. What are the Factors of 1040?

Answer: Factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040. There are 20 integers that are factors of 1040. The greatest factor of 1040 is 1040.

3. What are the Factors of 1048?

Answer: Factors of 1048 are 1, 2, 4, 8, 131, 262, 524, 1048. There are 8 integers that are factors of 1048. The greatest factor of 1048 is 1048.

4. How to Find the GCF of 1040 and 1048?

Answer:

Greatest Common Factor of 1040 and 1048 = 8

Step 1: Find the prime factorization of 1040

1040 = 2 x 2 x 2 x 2 x 5 x 13

Step 2: Find the prime factorization of 1048

1048 = 2 x 2 x 2 x 131

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 1040 and 1048 is 8