Find the GCF of 60 and 20
GCF of 60 and 20 will be their greatest common factor that will divide the numbers with a remainder of zero
Answer: The GCF of 60 and 20 is 20
Let us see how to find the GCF of 60 and 20
Following are the methods below to calculate the GCF:
- Listing Common factors
- Long division method
Method 1: Listing Common factors:
Let's list the factors of 20 and 60
Factors of 20: 1, 2, 4, 5, 10, 20
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The greatest common factor is 20
Hence, GCF(20,60) = 20
Method 2: Long Division method:
Divide the large number by the smaller one.
Then the remainder is treated as divisor and the divisor as dividend.
Divide the first divisor by the first remainder.
Divide the second divisor by the second remainder.
Continue this process till the remainder becomes 0.
The divisor which does not leave a remainder is the H.C.F. or G.C.F. of the two numbers and thus, the last divisor is the required greatest common factor (G.C.F) of the given numbers.