What is the GCF of 56 and 49?
GCF (Greatest Common Factor) of 56 and 49 is the largest possible number which divides both 56 and 49 exactly.
Answer: GCF of 56 and 49 is 7
Let's find the GCF of 56 and 49
The greatest common factor of two numbers x and y is the greatest number that divides x and y leaving the remainder as 0
Methods to Find GCF of 56 and 49
GCF of 56 and 49 by Long Division
The steps to find the GCF(56, 49) are shown below:
Step 1: Divide 56 by 49 and check the remainder.
Step 2: Make the remainder 7 as the new divisor and the previous divisor 49 is the dividend and perform the long division again. The last divisor is our GCF.
Step 3: Continue this process till you get the remainder as 0
Since the last divisor in the division process is 7, the GCF of 56 and 49 is 7
GCF of 56 and 49 by Listing the Common Factors
Clearly, the common factors of 56 and 49 are 1 and 7
The greatest common factor is 7
So, GCF of 56 and 49 is 7
Irrespective of the method, the solution to our question GCF of 56 and 49 is the same.