What is the Greatest Common Factor of 50749 and 50768?

Greatest common factor (GCF) of 50749 and 50768 is 19.

GCF(50749,50768) = 19

We will now calculate the prime factors of 50749 and 50768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50749 and 50768.

How to find the GCF of 50749 and 50768?

We will first find the prime factorization of 50749 and 50768. After we will calculate the factors of 50749 and 50768 and find the biggest common factor number .

Step-1: Prime Factorization of 50749

Prime factors of 50749 are 19, 2671. Prime factorization of 50749 in exponential form is:

50749 = 19¹ × 2671¹

Step-2: Prime Factorization of 50768

Prime factors of 50768 are 2, 19, 167. Prime factorization of 50768 in exponential form is:

50768 = 2⁴ × 19¹ × 167¹

Step-3: Factors of 50749

List of positive integer factors of 50749 that divides 50749 without a remainder.

1, 19, 2671

Step-4: Factors of 50768

List of positive integer factors of 50768 that divides 50749 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 167, 304, 334, 668, 1336, 2672, 3173, 6346, 12692, 25384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50749 and 50768. The biggest common factor number is the GCF number.
So the greatest common factor 50749 and 50768 is 19.

Also check out the Least Common Multiple of 50749 and 50768