GXF of 45g+30h
The greatest common factor (GCF) of 45g and 30h is 15g.
To find the greatest common factor (GCF) of the terms 45g and 30h, you need to determine the largest common factor that divides both terms evenly.
Step 1: Begin by factoring each term into its prime factors:
- 45g: 3 * 3 * 5 * g
- 30h: 2 * 3 * 5 * h
Step 2: Identify the common factors of both terms:
- 3 * 5
Step 3: Multiply the common factors together:
- GCF = 3 * 5 = 15
Therefore, the greatest common factor of 45g and 30h is 15.
To find the greatest common factor (GCF) of 45g and 30h, we need to consider the factors of each term.
Let's first find the factors of 45g:
Factors of 45: 1, 3, 5, 9, 15, 45
Factors of g: g
Combining the factors of 45 and g, we have: 1, 3, 5, 9, 15, 45, g
Next, let's find the factors of 30h:
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Factors of h: h
Combining the factors of 30 and h, we have: 1, 2, 3, 5, 6, 10, 15, 30, h
The common factors of 45g and 30h are: 1, 3, 5, 15
Therefore, the GCF of 45g and 30h is 15.