What is the Greatest Common Factor of 49062 and 49074?

Greatest common factor (GCF) of 49062 and 49074 is 6.

GCF(49062,49074) = 6

We will now calculate the prime factors of 49062 and 49074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49062 and 49074.

How to find the GCF of 49062 and 49074?

We will first find the prime factorization of 49062 and 49074. After we will calculate the factors of 49062 and 49074 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 49074

Prime factors of 49074 are 2, 3, 8179. Prime factorization of 49074 in exponential form is:

49074 = 2¹ × 3¹ × 8179¹

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 49074

List of positive integer factors of 49074 that divides 49062 without a remainder.

1, 2, 3, 6, 8179, 16358, 24537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49062 and 49074. The biggest common factor number is the GCF number.
So the greatest common factor 49062 and 49074 is 6.

Also check out the Least Common Multiple of 49062 and 49074