Greatest Common Factor of 144 and 151

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, 151 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 144 and 151 is 1.

GCF(144,151) = 1

GCF of 144 and 151

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

GCF of:
and

Greatest Common Factor of 144 and 151

GCF of 144 and 151 is 1

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 151


151 151
1

Prime factors of 151 are 151. Prime factorization of 151 in exponential form is:

151 = 1511

∴ So by taking common prime factors GCF of 144 and 151 is 1

Greatest Common Factor of 144 and 151 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 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Greatest Common Factor

We found the factors and prime factorization of 144 and 151. The biggest common factor number is the GCF number.
So the greatest common factor 144 and 151 is 1.

Also check out the Least Common Multiple of 144 and 151

Properties of GCF 144 and 151

(i) The GCF of 144 and 151 is associative

GCF of 144 and 151 = GCF of 151 and 144

Related Greatest Common Factor of 144

Related Greatest Common Factor of 151

Frequently Asked Questions on GCF of 144 and 151

1. What is the GCF of 144 and 151?

Answer: GCF of 144 and 151 is 1.

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 151?

Answer: Factors of 151 are 1, 151. There are 2 integers that are factors of 151. The greatest factor of 151 is 151.

4. How to Find the GCF of 144 and 151?

Answer:

Greatest Common Factor of 144 and 151 = 1

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 151

151 = 151

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 144 and 151 is 1