# Greatest Common Factor of 144 and 148

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

## GCF of 144 and 148

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

GCF of:
and

### Greatest Common Factor of 144 and 148 by Prime factorization method

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

### Greatest Common Factor of 144 and 148 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 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

### Properties of GCF 144 and 148

(i) The GCF of 144 and 148 is associative

GCF of 144 and 148 = GCF of 148 and 144

### Frequently Asked Questions on GCF of 144 and 148

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