Greatest Common Factor of 140 and 160

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 140, 160 i.e. 20 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 140 and 160 is 20.

GCF(140,160) = 20

GCF of 140 and 160

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

GCF of:
and

Greatest Common Factor of 140 and 160 by Prime factorization method

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 160

 2 160 2 80 2 40 2 20 2 10 5 5 1

Prime factors of 160 are 2,5. Prime factorization of 160 in exponential form is:

160 = 25×51

∴ So by taking common prime factors GCF of 140 and 160 is 20

Greatest Common Factor of 140 and 160 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 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors and prime factorization of 140 and 160. The biggest common factor number is the GCF number.
So the greatest common factor 140 and 160 is 20.

Also check out the Least Common Multiple of 140 and 160

Properties of GCF 140 and 160

(i) The GCF of 140 and 160 is associative

GCF of 140 and 160 = GCF of 160 and 140

Frequently Asked Questions on GCF of 140 and 160

1. What is the GCF of 140 and 160?

Answer: GCF of 140 and 160 is 20.

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 160?

Answer: Factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160. There are 12 integers that are factors of 160. The greatest factor of 160 is 160.

4. How to Find the GCF of 140 and 160?

Greatest Common Factor of 140 and 160 = 20

Step 1: Find the prime factorization of 140

140 = 2 x 2 x 5 x 7

Step 2: Find the prime factorization of 160

160 = 2 x 2 x 2 x 2 x 2 x 5

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

GCF = 2 x 2 x 5 = 20

Step 4: Therefore, the greatest common factor of 140 and 160 is 20