What is the Greatest Common Factor of 50072 and 50083?

Greatest common factor (GCF) of 50072 and 50083 is 11.

GCF(50072,50083) = 11

We will now calculate the prime factors of 50072 and 50083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50072 and 50083.

How to find the GCF of 50072 and 50083?

We will first find the prime factorization of 50072 and 50083. After we will calculate the factors of 50072 and 50083 and find the biggest common factor number .

Step-1: Prime Factorization of 50072

Prime factors of 50072 are 2, 11, 569. Prime factorization of 50072 in exponential form is:

50072 = 2³ × 11¹ × 569¹

Step-2: Prime Factorization of 50083

Prime factors of 50083 are 11, 29, 157. Prime factorization of 50083 in exponential form is:

50083 = 11¹ × 29¹ × 157¹

Step-3: Factors of 50072

List of positive integer factors of 50072 that divides 50072 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 569, 1138, 2276, 4552, 6259, 12518, 25036

Step-4: Factors of 50083

List of positive integer factors of 50083 that divides 50072 without a remainder.

1, 11, 29, 157, 319, 1727, 4553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50072 and 50083. The biggest common factor number is the GCF number.
So the greatest common factor 50072 and 50083 is 11.

Also check out the Least Common Multiple of 50072 and 50083