Greatest Common Factor of 7148 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 7148, 7154 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7148 and 7154 is 2.

GCF(7148,7154) = 2

GCF of 7148 and 7154

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

GCF of:
and

Greatest Common Factor of 7148 and 7154

GCF of 7148 and 7154 is 2

Prime Factorization of 7148


2 7148
2 3574
1787 1787
1

Prime factors of 7148 are 2,1787. Prime factorization of 7148 in exponential form is:

7148 = 22×17871

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 7148 and 7154 is 2

Greatest Common Factor of 7148 and 7154 by matching factors method

Factors of 7148

List of positive integer factors of 7148 that divides 7148 without a remainder.

1,2,4,1787,3574,7148

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 7148 and 7154. The biggest common factor number is the GCF number.
So the greatest common factor 7148 and 7154 is 2.

Also check out the Least Common Multiple of 7148 and 7154

Properties of GCF 7148 and 7154

(i) The GCF of 7148 and 7154 is associative

GCF of 7148 and 7154 = GCF of 7154 and 7148

Related Greatest Common Factor of 7148

Related Greatest Common Factor of 7154

Frequently Asked Questions on GCF of 7148 and 7154

1. What is the GCF of 7148 and 7154?

Answer: GCF of 7148 and 7154 is 2.

2. What are the Factors of 7148?

Answer: Factors of 7148 are 1, 2, 4, 1787, 3574, 7148. There are 6 integers that are factors of 7148. The greatest factor of 7148 is 7148.

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 7148 and 7154?

Answer:

Greatest Common Factor of 7148 and 7154 = 2

Step 1: Find the prime factorization of 7148

7148 = 2 x 2 x 1787

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 = 2

Step 4: Therefore, the greatest common factor of 7148 and 7154 is 2