What is the Greatest Common Factor of 50633 and 50644?

Greatest common factor (GCF) of 50633 and 50644 is 11.

GCF(50633,50644) = 11

We will now calculate the prime factors of 50633 and 50644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50633 and 50644.

How to find the GCF of 50633 and 50644?

We will first find the prime factorization of 50633 and 50644. After we will calculate the factors of 50633 and 50644 and find the biggest common factor number .

Step-1: Prime Factorization of 50633

Prime factors of 50633 are 11, 4603. Prime factorization of 50633 in exponential form is:

50633 = 11¹ × 4603¹

Step-2: Prime Factorization of 50644

Prime factors of 50644 are 2, 11, 1151. Prime factorization of 50644 in exponential form is:

50644 = 2² × 11¹ × 1151¹

Step-3: Factors of 50633

List of positive integer factors of 50633 that divides 50633 without a remainder.

1, 11, 4603

Step-4: Factors of 50644

List of positive integer factors of 50644 that divides 50633 without a remainder.

1, 2, 4, 11, 22, 44, 1151, 2302, 4604, 12661, 25322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50633 and 50644. The biggest common factor number is the GCF number.
So the greatest common factor 50633 and 50644 is 11.

Also check out the Least Common Multiple of 50633 and 50644