Greatest Common Factor of 7048 and 7052

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 7048, 7052 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7048 and 7052 is 4.

GCF(7048,7052) = 4

GCF of 7048 and 7052

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

GCF of:
and

Greatest Common Factor of 7048 and 7052

GCF of 7048 and 7052 is 4

Prime Factorization of 7048


2 7048
2 3524
2 1762
881 881
1

Prime factors of 7048 are 2,881. Prime factorization of 7048 in exponential form is:

7048 = 23×8811

Prime Factorization of 7052


2 7052
2 3526
41 1763
43 43
1

Prime factors of 7052 are 2,41,43. Prime factorization of 7052 in exponential form is:

7052 = 22×411×431

∴ So by taking common prime factors GCF of 7048 and 7052 is 4

Greatest Common Factor of 7048 and 7052 by matching factors method

Factors of 7048

List of positive integer factors of 7048 that divides 7048 without a remainder.

1,2,4,8,881,1762,3524,7048

Factors of 7052

List of positive integer factors of 7052 that divides 7052 without a remainder.

1,2,4,41,43,82,86,164,172,1763,3526,7052

Greatest Common Factor

We found the factors and prime factorization of 7048 and 7052. The biggest common factor number is the GCF number.
So the greatest common factor 7048 and 7052 is 4.

Also check out the Least Common Multiple of 7048 and 7052

Properties of GCF 7048 and 7052

(i) The GCF of 7048 and 7052 is associative

GCF of 7048 and 7052 = GCF of 7052 and 7048

Related Greatest Common Factor of 7048

Related Greatest Common Factor of 7052

Frequently Asked Questions on GCF of 7048 and 7052

1. What is the GCF of 7048 and 7052?

Answer: GCF of 7048 and 7052 is 4.

2. What are the Factors of 7048?

Answer: Factors of 7048 are 1, 2, 4, 8, 881, 1762, 3524, 7048. There are 8 integers that are factors of 7048. The greatest factor of 7048 is 7048.

3. What are the Factors of 7052?

Answer: Factors of 7052 are 1, 2, 4, 41, 43, 82, 86, 164, 172, 1763, 3526, 7052. There are 12 integers that are factors of 7052. The greatest factor of 7052 is 7052.

4. How to Find the GCF of 7048 and 7052?

Answer:

Greatest Common Factor of 7048 and 7052 = 4

Step 1: Find the prime factorization of 7048

7048 = 2 x 2 x 2 x 881

Step 2: Find the prime factorization of 7052

7052 = 2 x 2 x 41 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 7048 and 7052 is 4