Find the GCF of 7 and 28
The greatest common factor of two or more non-zero integers, x & y, is the greatest positive integer m, which divides both, x & y
Answer: The GCF of 7 and 28 is 7
Let us see how to find the GCF of 7 and 28
Following are the methods to calculate the GCF of 7 and 28:
- Listing Common factors
- Long division method
Method 1: Listing Common factors of 7 and 28
Factors of 7 : 1, 7
Factors of 28: 1, 2, 4, 7, 28
- The common factors are observed which are 1 and 7
- The greatest common factor is 7
Hence, GCF is 7
Method 2: Long division method:
a) Divide the larger number by the smaller number.
b) Now divide the divisor by the remainder.
c) Repeat the process of dividing the preceding number by the remainder last until 0 zero is obtained as remainder.
d) The last divisor is called GCF
Thus, according to the steps , 7 is the GCF