Greatest Common Factor of 148 and 154

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 148, 154 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 148 and 154 is 2.

GCF(148,154) = 2

GCF of 148 and 154

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

GCF of:
and

Greatest Common Factor of 148 and 154

GCF of 148 and 154 is 2

Prime Factorization of 148


2 148
2 74
37 37
1

Prime factors of 148 are 2,37. Prime factorization of 148 in exponential form is:

148 = 22×371

Prime Factorization of 154


2 154
7 77
11 11
1

Prime factors of 154 are 2,7,11. Prime factorization of 154 in exponential form is:

154 = 21×71×111

∴ So by taking common prime factors GCF of 148 and 154 is 2

Greatest Common Factor of 148 and 154 by matching factors method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors and prime factorization of 148 and 154. The biggest common factor number is the GCF number.
So the greatest common factor 148 and 154 is 2.

Also check out the Least Common Multiple of 148 and 154

Properties of GCF 148 and 154

(i) The GCF of 148 and 154 is associative

GCF of 148 and 154 = GCF of 154 and 148

Related Greatest Common Factor of 148

Related Greatest Common Factor of 154

Frequently Asked Questions on GCF of 148 and 154

1. What is the GCF of 148 and 154?

Answer: GCF of 148 and 154 is 2.

2. What are the Factors of 148?

Answer: Factors of 148 are 1, 2, 4, 37, 74, 148. There are 6 integers that are factors of 148. The greatest factor of 148 is 148.

3. What are the Factors of 154?

Answer: Factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154. There are 8 integers that are factors of 154. The greatest factor of 154 is 154.

4. How to Find the GCF of 148 and 154?

Answer:

Greatest Common Factor of 148 and 154 = 2

Step 1: Find the prime factorization of 148

148 = 2 x 2 x 37

Step 2: Find the prime factorization of 154

154 = 2 x 7 x 11

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 148 and 154 is 2