To find the greatest common factor (GCF) of 30m + 12n, we need to identify the common factors that the terms 30m and 12n share.
The prime factorization of 30m is 2 * 3 * 5 * m.
The prime factorization of 12n is 2 * 2 * 3 * n.
To find the GCF, we need to determine the highest power of each prime factor that appears in both 30m and 12n. In this case, the highest power of 2 that appears in both is 2^1, the highest power of 3 that appears in both is 3^1, and the highest power of 5 and n that appears in both is 0.
Therefore, the GCF of 30m + 12n is 2 * 3 = 6.
Find the GCF of 30m + 12n .
1 answer