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, 148 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 144 and 148 is 4.
GCF(144,148) = 4
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 148
2 | 148 |
2 | 74 |
37 | 37 |
1 |
Prime factors of 148 are 2,37. Prime factorization of 148 in exponential form is:
148 = 22×371
∴ So by taking common prime factors GCF of 144 and 148 is 4
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 148
List of positive integer factors of 148 that divides 148 without a remainder.
1,2,4,37,74,148
Greatest Common Factor
We found the factors and prime factorization of 144 and 148. The biggest common factor number is the GCF number.
So the greatest common factor 144 and 148 is 4.
Also check out the Least Common Multiple of 144 and 148
(i) The GCF of 144 and 148 is associative
GCF of 144 and 148 = GCF of 148 and 144
1. What is the GCF of 144 and 148?
Answer: GCF of 144 and 148 is 4.
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 148?
Answer: Factors of 148 are 1, 2, 4, 37, 74, 148. There are 6 integers that are factors of 148. The greatest factor of 148 is 148.
4. How to Find the GCF of 144 and 148?
Answer:
Greatest Common Factor of 144 and 148 = 4
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 148
148 = 2 x 2 x 37
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 144 and 148 is 4