GCF of 20,24,45
To find the greatest common factor (GCF) of 20, 24, and 45, we can factorize each number into its prime factors and then find the highest power of each prime factor that is common to all three numbers.
Prime factorization of 20: 2^2 × 5
Prime factorization of 24: 2^3 × 3
Prime factorization of 45: 3^2 × 5
The common factors are 2^2, 3, and 5. Multiplying these common factors together, we get:
GCF = 2^2 × 3 × 5 = 4 × 3 × 5 = 60
Therefore, the greatest common factor of 20, 24, and 45 is 60.
To find the greatest common factor (GCF) of 20, 24, and 45, follow these steps:
Step 1: Find the prime factorization of each number.
Prime factorization of 20: 2 * 2 * 5
Prime factorization of 24: 2 * 2 * 2 * 3
Prime factorization of 45: 3 * 3 * 5
Step 2: Identify the common prime factors.
The common prime factor of 20, 24, and 45 is 2 and 3.
Step 3: Determine the smallest exponent for each common prime factor.
For the common factor 2, the smallest exponent is 2 as 20 and 24 both have two 2s.
For the common factor 3, the smallest exponent is 1 as only 24 has a 3.
Step 4: Calculate the GCF.
Multiply the common prime factors with the smallest exponents found:
GCF = 2^2 * 3^1 = 4 * 3 = 12
The greatest common factor (GCF) of 20, 24, and 45 is 12.
To find the Greatest Common Factor (GCF) of three numbers, 20, 24, and 45, we can use the prime factorization method.
Step 1: Find the prime factorization of each number.
- For 20: 20 = 2 * 2 * 5
- For 24: 24 = 2 * 2 * 2 * 3
- For 45: 45 = 3 * 3 * 5
Step 2: Identify the common prime factors.
- In this case, the common prime factors are 2, 3, and 5.
Step 3: Multiply the common prime factors together.
- GCF = 2 * 3 * 5 = 30
Therefore, the Greatest Common Factor (GCF) of 20, 24, and 45 is 30.