Greatest Common Factor of 1042 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 1042, 1048 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1042 and 1048 is 2.

GCF(1042,1048) = 2

GCF of 1042 and 1048

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

GCF of:
and

Greatest Common Factor of 1042 and 1048

GCF of 1042 and 1048 is 2

Prime Factorization of 1042


2 1042
521 521
1

Prime factors of 1042 are 2,521. Prime factorization of 1042 in exponential form is:

1042 = 21×5211

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 1042 and 1048 is 2

Greatest Common Factor of 1042 and 1048 by matching factors method

Factors of 1042

List of positive integer factors of 1042 that divides 1042 without a remainder.

1,2,521,1042

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 1042 and 1048. The biggest common factor number is the GCF number.
So the greatest common factor 1042 and 1048 is 2.

Also check out the Least Common Multiple of 1042 and 1048

Properties of GCF 1042 and 1048

(i) The GCF of 1042 and 1048 is associative

GCF of 1042 and 1048 = GCF of 1048 and 1042

Related Greatest Common Factor of 1042

Related Greatest Common Factor of 1048

Frequently Asked Questions on GCF of 1042 and 1048

1. What is the GCF of 1042 and 1048?

Answer: GCF of 1042 and 1048 is 2.

2. What are the Factors of 1042?

Answer: Factors of 1042 are 1, 2, 521, 1042. There are 4 integers that are factors of 1042. The greatest factor of 1042 is 1042.

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 1042 and 1048?

Answer:

Greatest Common Factor of 1042 and 1048 = 2

Step 1: Find the prime factorization of 1042

1042 = 2 x 521

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

Step 4: Therefore, the greatest common factor of 1042 and 1048 is 2