What is the Greatest Common Factor of 50072 and 50089?

Greatest common factor (GCF) of 50072 and 50089 is 1.

GCF(50072,50089) = 1

We will now calculate the prime factors of 50072 and 50089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50072 and 50089.

How to find the GCF of 50072 and 50089?

We will first find the prime factorization of 50072 and 50089. After we will calculate the factors of 50072 and 50089 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 50089

Prime factors of 50089 are 13, 3853. Prime factorization of 50089 in exponential form is:

50089 = 13¹ × 3853¹

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 50089

List of positive integer factors of 50089 that divides 50072 without a remainder.

1, 13, 3853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50072 and 50089. The biggest common factor number is the GCF number.
So the greatest common factor 50072 and 50089 is 1.

Also check out the Least Common Multiple of 50072 and 50089