What is the GCF of 14 and 49?
Greatest Common Factor of 14 and 49 is the greatest possible number which divides 14 and 49 exactly without any remainder.
Answer: GCF of 14 and 49 is 6
We can find the GCF of 14 and 49 by the following two methods.
Methods to find GCF of 14 and 49

Listing the common factors Method

Long division Method
Method1: GCF of 14 and 49 by Listing the Common Factors
Factors of 14: 1, 2, 7, and 14
Factors of 49: 1, 7, and 49
Common Factors of 14 and 49: 1 and 7
We observe that the Greatest Common Factor from the list is 7
So, the GCF of 14 and 49 is 7
Method2: GCF of 14 and 49 by Long Division Method

Step 1: Divide 49 by 14 and check the remainder.

Step 2: Make the remainder of the above step as the divisor and the divisor of the above step as the dividend and perform the long division again.

Step 3: Continue till you get the remainder as 0 and the last divisor in the process will be the greatest common factor of 14 and 49
So, by long division method, the GCF of 14 and 49 is 7
You can find the GCF in any of the above methods but the solution will always remain the same.