What is the Greatest Common Factor of 49723 and 49727?

Greatest common factor (GCF) of 49723 and 49727 is 1.

GCF(49723,49727) = 1

We will now calculate the prime factors of 49723 and 49727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49723 and 49727.

How to find the GCF of 49723 and 49727?

We will first find the prime factorization of 49723 and 49727. After we will calculate the factors of 49723 and 49727 and find the biggest common factor number .

Step-1: Prime Factorization of 49723

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

49723 = 19¹ × 2617¹

Step-2: Prime Factorization of 49727

Prime factors of 49727 are 49727. Prime factorization of 49727 in exponential form is:

49727 = 49727¹

Step-3: Factors of 49723

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

1, 19, 2617

Step-4: Factors of 49727

List of positive integer factors of 49727 that divides 49723 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49723 and 49727. The biggest common factor number is the GCF number.
So the greatest common factor 49723 and 49727 is 1.

Also check out the Least Common Multiple of 49723 and 49727