Greatest Common Factor of 140 and 144

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, 144 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 140 and 144 is 4.

GCF(140,144) = 4

GCF of 140 and 144

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

GCF of:
and

Greatest Common Factor of 140 and 144

GCF of 140 and 144 is 4

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 144


2 144
2 72
2 36
2 18
3 9
3 3
1

Prime factors of 144 are 2,3. Prime factorization of 144 in exponential form is:

144 = 24×32

∴ So by taking common prime factors GCF of 140 and 144 is 4

Greatest Common Factor of 140 and 144 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 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors and prime factorization of 140 and 144. The biggest common factor number is the GCF number.
So the greatest common factor 140 and 144 is 4.

Also check out the Least Common Multiple of 140 and 144

Properties of GCF 140 and 144

(i) The GCF of 140 and 144 is associative

GCF of 140 and 144 = GCF of 144 and 140

Related Greatest Common Factor of 140

Related Greatest Common Factor of 144

Frequently Asked Questions on GCF of 140 and 144

1. What is the GCF of 140 and 144?

Answer: GCF of 140 and 144 is 4.

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 144?

Answer: Factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144. There are 15 integers that are factors of 144. The greatest factor of 144 is 144.

4. How to Find the GCF of 140 and 144?

Answer:

Greatest Common Factor of 140 and 144 = 4

Step 1: Find the prime factorization of 140

140 = 2 x 2 x 5 x 7

Step 2: Find the prime factorization of 144

144 = 2 x 2 x 2 x 2 x 3 x 3

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 140 and 144 is 4