Greatest Common Factor of 152 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 152, 160 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 152 and 160 is 8.

GCF(152,160) = 8

GCF of 152 and 160

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

GCF of:
and

Greatest Common Factor of 152 and 160

GCF of 152 and 160 is 8

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

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 152 and 160 is 8

Greatest Common Factor of 152 and 160 by matching factors method

Factors of 152

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

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

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 152 and 160. The biggest common factor number is the GCF number.
So the greatest common factor 152 and 160 is 8.

Also check out the Least Common Multiple of 152 and 160

Properties of GCF 152 and 160

(i) The GCF of 152 and 160 is associative

GCF of 152 and 160 = GCF of 160 and 152

Related Greatest Common Factor of 152

Related Greatest Common Factor of 160

Frequently Asked Questions on GCF of 152 and 160

1. What is the GCF of 152 and 160?

Answer: GCF of 152 and 160 is 8.

2. 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.

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 152 and 160?

Answer:

Greatest Common Factor of 152 and 160 = 8

Step 1: Find the prime factorization of 152

152 = 2 x 2 x 2 x 19

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 2 = 8

Step 4: Therefore, the greatest common factor of 152 and 160 is 8