Greatest Common Factor of 144 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 144, 152 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 144 and 152 is 8.

GCF(144,152) = 8

GCF of 144 and 152

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

GCF of:
and

Greatest Common Factor of 144 and 152

GCF of 144 and 152 is 8

Prime Factorization of 144


2 144
2 72
2 36
2 18
3 9
3 3
1

Prime factors of 144 are 2,3. Prime factorization of 144 in exponential form is:

144 = 24×32

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 144 and 152 is 8

Greatest Common Factor of 144 and 152 by matching factors method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

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 144 and 152. The biggest common factor number is the GCF number.
So the greatest common factor 144 and 152 is 8.

Also check out the Least Common Multiple of 144 and 152

Properties of GCF 144 and 152

(i) The GCF of 144 and 152 is associative

GCF of 144 and 152 = GCF of 152 and 144

Related Greatest Common Factor of 144

Related Greatest Common Factor of 152

Frequently Asked Questions on GCF of 144 and 152

1. What is the GCF of 144 and 152?

Answer: GCF of 144 and 152 is 8.

2. What are the Factors of 144?

Answer: Factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144. There are 15 integers that are factors of 144. The greatest factor of 144 is 144.

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 144 and 152?

Answer:

Greatest Common Factor of 144 and 152 = 8

Step 1: Find the prime factorization of 144

144 = 2 x 2 x 2 x 2 x 3 x 3

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 x 2 = 8

Step 4: Therefore, the greatest common factor of 144 and 152 is 8