Greatest Common Factor of 1048 and 1052

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 1048, 1052 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1048 and 1052 is 4.

GCF(1048,1052) = 4

GCF of 1048 and 1052

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

GCF of:
and

Greatest Common Factor of 1048 and 1052

GCF of 1048 and 1052 is 4

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

Prime Factorization of 1052


2 1052
2 526
263 263
1

Prime factors of 1052 are 2,263. Prime factorization of 1052 in exponential form is:

1052 = 22×2631

∴ So by taking common prime factors GCF of 1048 and 1052 is 4

Greatest Common Factor of 1048 and 1052 by matching factors method

Factors of 1048

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

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

Factors of 1052

List of positive integer factors of 1052 that divides 1052 without a remainder.

1,2,4,263,526,1052

Greatest Common Factor

We found the factors and prime factorization of 1048 and 1052. The biggest common factor number is the GCF number.
So the greatest common factor 1048 and 1052 is 4.

Also check out the Least Common Multiple of 1048 and 1052

Properties of GCF 1048 and 1052

(i) The GCF of 1048 and 1052 is associative

GCF of 1048 and 1052 = GCF of 1052 and 1048

Related Greatest Common Factor of 1048

Related Greatest Common Factor of 1052

Frequently Asked Questions on GCF of 1048 and 1052

1. What is the GCF of 1048 and 1052?

Answer: GCF of 1048 and 1052 is 4.

2. 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.

3. What are the Factors of 1052?

Answer: Factors of 1052 are 1, 2, 4, 263, 526, 1052. There are 6 integers that are factors of 1052. The greatest factor of 1052 is 1052.

4. How to Find the GCF of 1048 and 1052?

Answer:

Greatest Common Factor of 1048 and 1052 = 4

Step 1: Find the prime factorization of 1048

1048 = 2 x 2 x 2 x 131

Step 2: Find the prime factorization of 1052

1052 = 2 x 2 x 263

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 1048 and 1052 is 4