Greatest Common Factor of 7049 and 7055

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 7049, 7055 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7049 and 7055 is 1.

GCF(7049,7055) = 1

GCF of 7049 and 7055

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

GCF of:
and

Greatest Common Factor of 7049 and 7055

GCF of 7049 and 7055 is 1

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

Prime Factorization of 7055


5 7055
17 1411
83 83
1

Prime factors of 7055 are 5,17,83. Prime factorization of 7055 in exponential form is:

7055 = 51×171×831

∴ So by taking common prime factors GCF of 7049 and 7055 is 1

Greatest Common Factor of 7049 and 7055 by matching factors method

Factors of 7049

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

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

Factors of 7055

List of positive integer factors of 7055 that divides 7055 without a remainder.

1,5,17,83,85,415,1411,7055

Greatest Common Factor

We found the factors and prime factorization of 7049 and 7055. The biggest common factor number is the GCF number.
So the greatest common factor 7049 and 7055 is 1.

Also check out the Least Common Multiple of 7049 and 7055

Properties of GCF 7049 and 7055

(i) The GCF of 7049 and 7055 is associative

GCF of 7049 and 7055 = GCF of 7055 and 7049

Related Greatest Common Factor of 7049

Related Greatest Common Factor of 7055

Frequently Asked Questions on GCF of 7049 and 7055

1. What is the GCF of 7049 and 7055?

Answer: GCF of 7049 and 7055 is 1.

2. 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.

3. What are the Factors of 7055?

Answer: Factors of 7055 are 1, 5, 17, 83, 85, 415, 1411, 7055. There are 8 integers that are factors of 7055. The greatest factor of 7055 is 7055.

4. How to Find the GCF of 7049 and 7055?

Answer:

Greatest Common Factor of 7049 and 7055 = 1

Step 1: Find the prime factorization of 7049

7049 = 7 x 19 x 53

Step 2: Find the prime factorization of 7055

7055 = 5 x 17 x 83

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 7049 and 7055 is 1