What is the Greatest Common Factor of 49734 and 49738?

Greatest common factor (GCF) of 49734 and 49738 is 2.

GCF(49734,49738) = 2

We will now calculate the prime factors of 49734 and 49738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49734 and 49738.

How to find the GCF of 49734 and 49738?

We will first find the prime factorization of 49734 and 49738. After we will calculate the factors of 49734 and 49738 and find the biggest common factor number .

Step-1: Prime Factorization of 49734

Prime factors of 49734 are 2, 3, 307. Prime factorization of 49734 in exponential form is:

49734 = 2¹ × 3⁴ × 307¹

Step-2: Prime Factorization of 49738

Prime factors of 49738 are 2, 13, 1913. Prime factorization of 49738 in exponential form is:

49738 = 2¹ × 13¹ × 1913¹

Step-3: Factors of 49734

List of positive integer factors of 49734 that divides 49734 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 307, 614, 921, 1842, 2763, 5526, 8289, 16578, 24867

Step-4: Factors of 49738

List of positive integer factors of 49738 that divides 49734 without a remainder.

1, 2, 13, 26, 1913, 3826, 24869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49734 and 49738. The biggest common factor number is the GCF number.
So the greatest common factor 49734 and 49738 is 2.

Also check out the Least Common Multiple of 49734 and 49738