Greatest Common Factor of 147 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 147, 154 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 147 and 154 is 7.

GCF(147,154) = 7

GCF of 147 and 154

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

GCF of:
and

Greatest Common Factor of 147 and 154

GCF of 147 and 154 is 7

Prime Factorization of 147


3 147
7 49
7 7
1

Prime factors of 147 are 3,7. Prime factorization of 147 in exponential form is:

147 = 31×72

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 147 and 154 is 7

Greatest Common Factor of 147 and 154 by matching factors method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

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 147 and 154. The biggest common factor number is the GCF number.
So the greatest common factor 147 and 154 is 7.

Also check out the Least Common Multiple of 147 and 154

Properties of GCF 147 and 154

(i) The GCF of 147 and 154 is associative

GCF of 147 and 154 = GCF of 154 and 147

Related Greatest Common Factor of 147

Related Greatest Common Factor of 154

Frequently Asked Questions on GCF of 147 and 154

1. What is the GCF of 147 and 154?

Answer: GCF of 147 and 154 is 7.

2. What are the Factors of 147?

Answer: Factors of 147 are 1, 3, 7, 21, 49, 147. There are 6 integers that are factors of 147. The greatest factor of 147 is 147.

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 147 and 154?

Answer:

Greatest Common Factor of 147 and 154 = 7

Step 1: Find the prime factorization of 147

147 = 3 x 7 x 7

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 = 7

Step 4: Therefore, the greatest common factor of 147 and 154 is 7