Find the GCF of 8d − 20 .

The GCF of 8d and -20 is 4.

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Find the GCF of 45g + 30h

To find the GCF of 45g and 30h, we need to factorize each term completely.

For 45g, the prime factors are 3, 3, 5, and g.
For 30h, the prime factors are 2, 3, 5, and h.

The common factors between 45g and 30h are 3, 5, and h.

Therefore, the GCF of 45g and 30h is 3 * 5 * h, which can be simplified as 15h.

To find the greatest common factor (GCF) of 8d − 20, we need to factorize both terms and then find the common factors.

Step 1: Factorize 8d
Since 8d is a monomial, it is already in its simplest form.

Step 2: Factorize -20
To factorize -20, we need to find its prime factors. The prime factors of 20 are 2, 2, and 5. Since -20 is negative, we include a negative sign in the factorization.

-20 = -1 * 2 * 2 * 5

Step 3: Find the common factors
To find the common factors, we compare the factorization of 8d and -20. The common factors are the ones that appear in both factorizations.

The only common factor is 2.

Therefore, the GCF of 8d − 20 is 2.

To find the greatest common factor (GCF) of the given expression, 8d − 20, we need to factorize both terms and identify the shared factors.

Step 1: Factorize the expression 8d − 20
Taking out the greatest common factor from both terms, we can rewrite the expression as:
8d − 20 = 4(2d − 5)

Step 2: Identify the shared factors
In the expression 4(2d − 5), the factor 4 is common to both terms.

Therefore, the GCF of 8d − 20 is 4.