What is the Greatest Common Factor of 49062 and 49072?

Greatest common factor (GCF) of 49062 and 49072 is 2.

GCF(49062,49072) = 2

We will now calculate the prime factors of 49062 and 49072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49062 and 49072.

How to find the GCF of 49062 and 49072?

We will first find the prime factorization of 49062 and 49072. After we will calculate the factors of 49062 and 49072 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 49072

Prime factors of 49072 are 2, 3067. Prime factorization of 49072 in exponential form is:

49072 = 2⁴ × 3067¹

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 49072

List of positive integer factors of 49072 that divides 49062 without a remainder.

1, 2, 4, 8, 16, 3067, 6134, 12268, 24536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49062 and 49072. The biggest common factor number is the GCF number.
So the greatest common factor 49062 and 49072 is 2.

Also check out the Least Common Multiple of 49062 and 49072