Greatest Common Factor of 150 and 160

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 150, 160 i.e. 10 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 150 and 160 is 10.

GCF(150,160) = 10

GCF of 150 and 160

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

GCF of:
and

Greatest Common Factor of 150 and 160

GCF of 150 and 160 is 10

Prime Factorization of 150


2 150
3 75
5 25
5 5
1

Prime factors of 150 are 2,3,5. Prime factorization of 150 in exponential form is:

150 = 21×31×52

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 150 and 160 is 10

Greatest Common Factor of 150 and 160 by matching factors method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

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 150 and 160. The biggest common factor number is the GCF number.
So the greatest common factor 150 and 160 is 10.

Also check out the Least Common Multiple of 150 and 160

Properties of GCF 150 and 160

(i) The GCF of 150 and 160 is associative

GCF of 150 and 160 = GCF of 160 and 150

Related Greatest Common Factor of 150

Related Greatest Common Factor of 160

Frequently Asked Questions on GCF of 150 and 160

1. What is the GCF of 150 and 160?

Answer: GCF of 150 and 160 is 10.

2. What are the Factors of 150?

Answer: Factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150. There are 12 integers that are factors of 150. The greatest factor of 150 is 150.

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 150 and 160?

Answer:

Greatest Common Factor of 150 and 160 = 10

Step 1: Find the prime factorization of 150

150 = 2 x 3 x 5 x 5

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 5 = 10

Step 4: Therefore, the greatest common factor of 150 and 160 is 10