What is the Greatest Common Factor of 49 and 6?

Greatest common factor (GCF) of 49 and 6 is 1.

GCF(49,6) = 1

We will now calculate the prime factors of 49 and 6, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49 and 6.

How to find the GCF of 49 and 6?

We will first find the prime factorization of 49 and 6. After we will calculate the factors of 49 and 6 and find the biggest common factor number .

Step-1: Prime Factorization of 49

Prime factors of 49 are 7. Prime factorization of 49 in exponential form is:

49 = 7²

Step-2: Prime Factorization of 6

Prime factors of 6 are 2, 3. Prime factorization of 6 in exponential form is:

6 = 2¹ × 3¹

Step-3: Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1, 7

Step-4: Factors of 6

List of positive integer factors of 6 that divides 49 without a remainder.

1, 2, 3

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49 and 6. The biggest common factor number is the GCF number.
So the greatest common factor 49 and 6 is 1.

Also check out the Least Common Multiple of 49 and 6