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
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
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
(i) The GCF of 144 and 151 is associative
GCF of 144 and 151 = GCF of 151 and 144
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