Greatest Common Factor of 7147 and 7154

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 7147, 7154 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7147 and 7154 is 7.

GCF(7147,7154) = 7

GCF of 7147 and 7154

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

GCF of:
and

Greatest Common Factor of 7147 and 7154

GCF of 7147 and 7154 is 7

Prime Factorization of 7147


7 7147
1021 1021
1

Prime factors of 7147 are 7,1021. Prime factorization of 7147 in exponential form is:

7147 = 71×10211

Prime Factorization of 7154


2 7154
7 3577
7 511
73 73
1

Prime factors of 7154 are 2,7,73. Prime factorization of 7154 in exponential form is:

7154 = 21×72×731

∴ So by taking common prime factors GCF of 7147 and 7154 is 7

Greatest Common Factor of 7147 and 7154 by matching factors method

Factors of 7147

List of positive integer factors of 7147 that divides 7147 without a remainder.

1,7,1021,7147

Factors of 7154

List of positive integer factors of 7154 that divides 7154 without a remainder.

1,2,7,14,49,73,98,146,511,1022,3577,7154

Greatest Common Factor

We found the factors and prime factorization of 7147 and 7154. The biggest common factor number is the GCF number.
So the greatest common factor 7147 and 7154 is 7.

Also check out the Least Common Multiple of 7147 and 7154

Properties of GCF 7147 and 7154

(i) The GCF of 7147 and 7154 is associative

GCF of 7147 and 7154 = GCF of 7154 and 7147

Related Greatest Common Factor of 7147

Related Greatest Common Factor of 7154

Frequently Asked Questions on GCF of 7147 and 7154

1. What is the GCF of 7147 and 7154?

Answer: GCF of 7147 and 7154 is 7.

2. What are the Factors of 7147?

Answer: Factors of 7147 are 1, 7, 1021, 7147. There are 4 integers that are factors of 7147. The greatest factor of 7147 is 7147.

3. What are the Factors of 7154?

Answer: Factors of 7154 are 1, 2, 7, 14, 49, 73, 98, 146, 511, 1022, 3577, 7154. There are 12 integers that are factors of 7154. The greatest factor of 7154 is 7154.

4. How to Find the GCF of 7147 and 7154?

Answer:

Greatest Common Factor of 7147 and 7154 = 7

Step 1: Find the prime factorization of 7147

7147 = 7 x 1021

Step 2: Find the prime factorization of 7154

7154 = 2 x 7 x 7 x 73

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

GCF = 7

Step 4: Therefore, the greatest common factor of 7147 and 7154 is 7