what is the GCF for 36 & 48?
36=6*6 = 2*2*3*3
48= 6*8 = 2*3*2*2*2
so
one three and two twos
3*2*2 = 12
Thanks Damon:-)
You are welcome :)
To determine the greatest common factor (GCF) of 36 and 48, you can use the prime factorization method. Here are the steps to find the GCF:
1. Find the prime factorization of both numbers:
- The prime factorization of 36 is 2^2 * 3^2.
- The prime factorization of 48 is 2^4 * 3^1.
2. Identify the common prime factors:
- Both 36 and 48 have the prime factor 2 and 3.
3. Determine the lowest exponent for each common prime factor:
- The lowest exponent for 2 is 2, as it appears as 2^2 in the factorization of 36 and as 2^4 in the factorization of 48.
- The lowest exponent for 3 is 1, as it appears as 3^2 in the factorization of 36 and as 3^1 in the factorization of 48.
4. Multiply the common prime factors with their lowest exponents:
- The GCF is the product of the common prime factors raised to their lowest exponents.
- In this case, the GCF of 36 and 48 is 2^2 * 3^1, which is equal to 12.
Therefore, the GCF of 36 and 48 is 12.