Greatest Common Factor of 1148 and 1154

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 1148, 1154 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1148 and 1154 is 2.

GCF(1148,1154) = 2

GCF of 1148 and 1154

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

GCF of:
and

Greatest Common Factor of 1148 and 1154

GCF of 1148 and 1154 is 2

Prime Factorization of 1148


2 1148
2 574
7 287
41 41
1

Prime factors of 1148 are 2,7,41. Prime factorization of 1148 in exponential form is:

1148 = 22×71×411

Prime Factorization of 1154


2 1154
577 577
1

Prime factors of 1154 are 2,577. Prime factorization of 1154 in exponential form is:

1154 = 21×5771

∴ So by taking common prime factors GCF of 1148 and 1154 is 2

Greatest Common Factor of 1148 and 1154 by matching factors method

Factors of 1148

List of positive integer factors of 1148 that divides 1148 without a remainder.

1,2,4,7,14,28,41,82,164,287,574,1148

Factors of 1154

List of positive integer factors of 1154 that divides 1154 without a remainder.

1,2,577,1154

Greatest Common Factor

We found the factors and prime factorization of 1148 and 1154. The biggest common factor number is the GCF number.
So the greatest common factor 1148 and 1154 is 2.

Also check out the Least Common Multiple of 1148 and 1154

Properties of GCF 1148 and 1154

(i) The GCF of 1148 and 1154 is associative

GCF of 1148 and 1154 = GCF of 1154 and 1148

Related Greatest Common Factor of 1148

Related Greatest Common Factor of 1154

Frequently Asked Questions on GCF of 1148 and 1154

1. What is the GCF of 1148 and 1154?

Answer: GCF of 1148 and 1154 is 2.

2. What are the Factors of 1148?

Answer: Factors of 1148 are 1, 2, 4, 7, 14, 28, 41, 82, 164, 287, 574, 1148. There are 12 integers that are factors of 1148. The greatest factor of 1148 is 1148.

3. What are the Factors of 1154?

Answer: Factors of 1154 are 1, 2, 577, 1154. There are 4 integers that are factors of 1154. The greatest factor of 1154 is 1154.

4. How to Find the GCF of 1148 and 1154?

Answer:

Greatest Common Factor of 1148 and 1154 = 2

Step 1: Find the prime factorization of 1148

1148 = 2 x 2 x 7 x 41

Step 2: Find the prime factorization of 1154

1154 = 2 x 577

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 1148 and 1154 is 2