What is the Greatest Common Factor of 49704 and 49718?

Greatest common factor (GCF) of 49704 and 49718 is 2.

GCF(49704,49718) = 2

We will now calculate the prime factors of 49704 and 49718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49704 and 49718.

How to find the GCF of 49704 and 49718?

We will first find the prime factorization of 49704 and 49718. After we will calculate the factors of 49704 and 49718 and find the biggest common factor number .

Step-1: Prime Factorization of 49704

Prime factors of 49704 are 2, 3, 19, 109. Prime factorization of 49704 in exponential form is:

49704 = 2³ × 3¹ × 19¹ × 109¹

Step-2: Prime Factorization of 49718

Prime factors of 49718 are 2, 24859. Prime factorization of 49718 in exponential form is:

49718 = 2¹ × 24859¹

Step-3: Factors of 49704

List of positive integer factors of 49704 that divides 49704 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 109, 114, 152, 218, 228, 327, 436, 456, 654, 872, 1308, 2071, 2616, 4142, 6213, 8284, 12426, 16568, 24852

Step-4: Factors of 49718

List of positive integer factors of 49718 that divides 49704 without a remainder.

1, 2, 24859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49704 and 49718. The biggest common factor number is the GCF number.
So the greatest common factor 49704 and 49718 is 2.

Also check out the Least Common Multiple of 49704 and 49718