Greatest Common Factor of 140 and 152

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

Greatest common factor (GCF) of 140 and 152 is 4.

GCF(140,152) = 4

GCF of 140 and 152

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

GCF of:
and

Greatest Common Factor of 140 and 152

GCF of 140 and 152 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 152


2 152
2 76
2 38
19 19
1

Prime factors of 152 are 2,19. Prime factorization of 152 in exponential form is:

152 = 23×191

∴ So by taking common prime factors GCF of 140 and 152 is 4

Greatest Common Factor of 140 and 152 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 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors and prime factorization of 140 and 152. The biggest common factor number is the GCF number.
So the greatest common factor 140 and 152 is 4.

Also check out the Least Common Multiple of 140 and 152

Properties of GCF 140 and 152

(i) The GCF of 140 and 152 is associative

GCF of 140 and 152 = GCF of 152 and 140

Related Greatest Common Factor of 140

Related Greatest Common Factor of 152

Frequently Asked Questions on GCF of 140 and 152

1. What is the GCF of 140 and 152?

Answer: GCF of 140 and 152 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 152?

Answer: Factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152. There are 8 integers that are factors of 152. The greatest factor of 152 is 152.

4. How to Find the GCF of 140 and 152?

Answer:

Greatest Common Factor of 140 and 152 = 4

Step 1: Find the prime factorization of 140

140 = 2 x 2 x 5 x 7

Step 2: Find the prime factorization of 152

152 = 2 x 2 x 2 x 19

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 152 is 4