Greatest Common Factor of 140 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 140, 154 i.e. 14 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 140 and 154 is 14.

GCF(140,154) = 14

GCF of 140 and 154

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

GCF of:
and

Greatest Common Factor of 140 and 154

GCF of 140 and 154 is 14

Prime Factorization of 140


2 140
2 70
5 35
7 7
1

Prime factors of 140 are 2,5,7. Prime factorization of 140 in exponential form is:

140 = 22×51×71

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 140 and 154 is 14

Greatest Common Factor of 140 and 154 by matching factors method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

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 140 and 154. The biggest common factor number is the GCF number.
So the greatest common factor 140 and 154 is 14.

Also check out the Least Common Multiple of 140 and 154

Properties of GCF 140 and 154

(i) The GCF of 140 and 154 is associative

GCF of 140 and 154 = GCF of 154 and 140

Related Greatest Common Factor of 140

Related Greatest Common Factor of 154

Frequently Asked Questions on GCF of 140 and 154

1. What is the GCF of 140 and 154?

Answer: GCF of 140 and 154 is 14.

2. What are the Factors of 140?

Answer: Factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140. There are 12 integers that are factors of 140. The greatest factor of 140 is 140.

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 140 and 154?

Answer:

Greatest Common Factor of 140 and 154 = 14

Step 1: Find the prime factorization of 140

140 = 2 x 2 x 5 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 = 2 x 7 = 14

Step 4: Therefore, the greatest common factor of 140 and 154 is 14