Greatest Common Factor of 7134 and 7139

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 7134, 7139 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7134 and 7139 is 1.

GCF(7134,7139) = 1

GCF of 7134 and 7139

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

GCF of:
and

Greatest Common Factor of 7134 and 7139

GCF of 7134 and 7139 is 1

Prime Factorization of 7134


2 7134
3 3567
29 1189
41 41
1

Prime factors of 7134 are 2,3,29,41. Prime factorization of 7134 in exponential form is:

7134 = 21×31×291×411

Prime Factorization of 7139


11 7139
11 649
59 59
1

Prime factors of 7139 are 11,59. Prime factorization of 7139 in exponential form is:

7139 = 112×591

∴ So by taking common prime factors GCF of 7134 and 7139 is 1

Greatest Common Factor of 7134 and 7139 by matching factors method

Factors of 7134

List of positive integer factors of 7134 that divides 7134 without a remainder.

1,2,3,6,29,41,58,82,87,123,174,246,1189,2378,3567,7134

Factors of 7139

List of positive integer factors of 7139 that divides 7139 without a remainder.

1,11,59,121,649,7139

Greatest Common Factor

We found the factors and prime factorization of 7134 and 7139. The biggest common factor number is the GCF number.
So the greatest common factor 7134 and 7139 is 1.

Also check out the Least Common Multiple of 7134 and 7139

Properties of GCF 7134 and 7139

(i) The GCF of 7134 and 7139 is associative

GCF of 7134 and 7139 = GCF of 7139 and 7134

Related Greatest Common Factor of 7134

Related Greatest Common Factor of 7139

Frequently Asked Questions on GCF of 7134 and 7139

1. What is the GCF of 7134 and 7139?

Answer: GCF of 7134 and 7139 is 1.

2. What are the Factors of 7134?

Answer: Factors of 7134 are 1, 2, 3, 6, 29, 41, 58, 82, 87, 123, 174, 246, 1189, 2378, 3567, 7134. There are 16 integers that are factors of 7134. The greatest factor of 7134 is 7134.

3. What are the Factors of 7139?

Answer: Factors of 7139 are 1, 11, 59, 121, 649, 7139. There are 6 integers that are factors of 7139. The greatest factor of 7139 is 7139.

4. How to Find the GCF of 7134 and 7139?

Answer:

Greatest Common Factor of 7134 and 7139 = 1

Step 1: Find the prime factorization of 7134

7134 = 2 x 3 x 29 x 41

Step 2: Find the prime factorization of 7139

7139 = 11 x 11 x 59

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 7134 and 7139 is 1