What is the Greatest Common Factor of 49708 and 49721?

Greatest common factor (GCF) of 49708 and 49721 is 1.

GCF(49708,49721) = 1

We will now calculate the prime factors of 49708 and 49721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49708 and 49721.

How to find the GCF of 49708 and 49721?

We will first find the prime factorization of 49708 and 49721. After we will calculate the factors of 49708 and 49721 and find the biggest common factor number .

Step-1: Prime Factorization of 49708

Prime factors of 49708 are 2, 17, 43. Prime factorization of 49708 in exponential form is:

49708 = 2² × 17² × 43¹

Step-2: Prime Factorization of 49721

Prime factors of 49721 are 7, 7103. Prime factorization of 49721 in exponential form is:

49721 = 7¹ × 7103¹

Step-3: Factors of 49708

List of positive integer factors of 49708 that divides 49708 without a remainder.

1, 2, 4, 17, 34, 43, 68, 86, 172, 289, 578, 731, 1156, 1462, 2924, 12427, 24854

Step-4: Factors of 49721

List of positive integer factors of 49721 that divides 49708 without a remainder.

1, 7, 7103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49708 and 49721. The biggest common factor number is the GCF number.
So the greatest common factor 49708 and 49721 is 1.

Also check out the Least Common Multiple of 49708 and 49721