Greatest Common Factor of 140 and 156

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

Greatest common factor (GCF) of 140 and 156 is 4.

GCF(140,156) = 4

GCF of 140 and 156

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

GCF of:
and

Greatest Common Factor of 140 and 156

GCF of 140 and 156 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 156


2 156
2 78
3 39
13 13
1

Prime factors of 156 are 2,3,13. Prime factorization of 156 in exponential form is:

156 = 22×31×131

∴ So by taking common prime factors GCF of 140 and 156 is 4

Greatest Common Factor of 140 and 156 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 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors and prime factorization of 140 and 156. The biggest common factor number is the GCF number.
So the greatest common factor 140 and 156 is 4.

Also check out the Least Common Multiple of 140 and 156

Properties of GCF 140 and 156

(i) The GCF of 140 and 156 is associative

GCF of 140 and 156 = GCF of 156 and 140

Related Greatest Common Factor of 140

Related Greatest Common Factor of 156

Frequently Asked Questions on GCF of 140 and 156

1. What is the GCF of 140 and 156?

Answer: GCF of 140 and 156 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 156?

Answer: Factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156. There are 12 integers that are factors of 156. The greatest factor of 156 is 156.

4. How to Find the GCF of 140 and 156?

Answer:

Greatest Common Factor of 140 and 156 = 4

Step 1: Find the prime factorization of 140

140 = 2 x 2 x 5 x 7

Step 2: Find the prime factorization of 156

156 = 2 x 2 x 3 x 13

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 156 is 4