What is the Greatest Common Factor of 49062 and 49079?

Greatest common factor (GCF) of 49062 and 49079 is 17.

GCF(49062,49079) = 17

We will now calculate the prime factors of 49062 and 49079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49062 and 49079.

How to find the GCF of 49062 and 49079?

We will first find the prime factorization of 49062 and 49079. After we will calculate the factors of 49062 and 49079 and find the biggest common factor number .

Step-1: Prime Factorization of 49062

Prime factors of 49062 are 2, 3, 13, 17, 37. Prime factorization of 49062 in exponential form is:

49062 = 2¹ × 3¹ × 13¹ × 17¹ × 37¹

Step-2: Prime Factorization of 49079

Prime factors of 49079 are 17, 2887. Prime factorization of 49079 in exponential form is:

49079 = 17¹ × 2887¹

Step-3: Factors of 49062

List of positive integer factors of 49062 that divides 49062 without a remainder.

1, 2, 3, 6, 13, 17, 26, 34, 37, 39, 51, 74, 78, 102, 111, 221, 222, 442, 481, 629, 663, 962, 1258, 1326, 1443, 1887, 2886, 3774, 8177, 16354, 24531

Step-4: Factors of 49079

List of positive integer factors of 49079 that divides 49062 without a remainder.

1, 17, 2887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49062 and 49079. The biggest common factor number is the GCF number.
So the greatest common factor 49062 and 49079 is 17.

Also check out the Least Common Multiple of 49062 and 49079