Greatest Common Factor of 7048 and 7049

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, 7049 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7048 and 7049 is 1.

GCF(7048,7049) = 1

GCF of 7048 and 7049

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

GCF of:
and

Greatest Common Factor of 7048 and 7049

GCF of 7048 and 7049 is 1

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 7049


7 7049
19 1007
53 53
1

Prime factors of 7049 are 7,19,53. Prime factorization of 7049 in exponential form is:

7049 = 71×191×531

∴ So by taking common prime factors GCF of 7048 and 7049 is 1

Greatest Common Factor of 7048 and 7049 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 7049

List of positive integer factors of 7049 that divides 7049 without a remainder.

1,7,19,53,133,371,1007,7049

Greatest Common Factor

We found the factors and prime factorization of 7048 and 7049. The biggest common factor number is the GCF number.
So the greatest common factor 7048 and 7049 is 1.

Also check out the Least Common Multiple of 7048 and 7049

Properties of GCF 7048 and 7049

(i) The GCF of 7048 and 7049 is associative

GCF of 7048 and 7049 = GCF of 7049 and 7048

Related Greatest Common Factor of 7048

Related Greatest Common Factor of 7049

Frequently Asked Questions on GCF of 7048 and 7049

1. What is the GCF of 7048 and 7049?

Answer: GCF of 7048 and 7049 is 1.

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 7049?

Answer: Factors of 7049 are 1, 7, 19, 53, 133, 371, 1007, 7049. There are 8 integers that are factors of 7049. The greatest factor of 7049 is 7049.

4. How to Find the GCF of 7048 and 7049?

Answer:

Greatest Common Factor of 7048 and 7049 = 1

Step 1: Find the prime factorization of 7048

7048 = 2 x 2 x 2 x 881

Step 2: Find the prime factorization of 7049

7049 = 7 x 19 x 53

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 7048 and 7049 is 1