What is the Greatest Common Factor of 49744 and 49763?

Greatest common factor (GCF) of 49744 and 49763 is 1.

GCF(49744,49763) = 1

We will now calculate the prime factors of 49744 and 49763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49744 and 49763.

How to find the GCF of 49744 and 49763?

We will first find the prime factorization of 49744 and 49763. After we will calculate the factors of 49744 and 49763 and find the biggest common factor number .

Step-1: Prime Factorization of 49744

Prime factors of 49744 are 2, 3109. Prime factorization of 49744 in exponential form is:

49744 = 2⁴ × 3109¹

Step-2: Prime Factorization of 49763

Prime factors of 49763 are 7, 7109. Prime factorization of 49763 in exponential form is:

49763 = 7¹ × 7109¹

Step-3: Factors of 49744

List of positive integer factors of 49744 that divides 49744 without a remainder.

1, 2, 4, 8, 16, 3109, 6218, 12436, 24872

Step-4: Factors of 49763

List of positive integer factors of 49763 that divides 49744 without a remainder.

1, 7, 7109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49744 and 49763. The biggest common factor number is the GCF number.
So the greatest common factor 49744 and 49763 is 1.

Also check out the Least Common Multiple of 49744 and 49763