What is the Greatest Common Factor of 49708 and 49723?

Greatest common factor (GCF) of 49708 and 49723 is 1.

GCF(49708,49723) = 1

We will now calculate the prime factors of 49708 and 49723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49708 and 49723.

How to find the GCF of 49708 and 49723?

We will first find the prime factorization of 49708 and 49723. After we will calculate the factors of 49708 and 49723 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 49723

Prime factors of 49723 are 19, 2617. Prime factorization of 49723 in exponential form is:

49723 = 19¹ × 2617¹

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 49723

List of positive integer factors of 49723 that divides 49708 without a remainder.

1, 19, 2617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49708 and 49723. The biggest common factor number is the GCF number.
So the greatest common factor 49708 and 49723 is 1.

Also check out the Least Common Multiple of 49708 and 49723