What is the Greatest Common Factor of 50076 and 50089?

Greatest common factor (GCF) of 50076 and 50089 is 13.

GCF(50076,50089) = 13

We will now calculate the prime factors of 50076 and 50089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50076 and 50089.

How to find the GCF of 50076 and 50089?

We will first find the prime factorization of 50076 and 50089. After we will calculate the factors of 50076 and 50089 and find the biggest common factor number .

Step-1: Prime Factorization of 50076

Prime factors of 50076 are 2, 3, 13, 107. Prime factorization of 50076 in exponential form is:

50076 = 2² × 3² × 13¹ × 107¹

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 50076

List of positive integer factors of 50076 that divides 50076 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 107, 117, 156, 214, 234, 321, 428, 468, 642, 963, 1284, 1391, 1926, 2782, 3852, 4173, 5564, 8346, 12519, 16692, 25038

Step-4: Factors of 50089

List of positive integer factors of 50089 that divides 50076 without a remainder.

1, 13, 3853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50076 and 50089. The biggest common factor number is the GCF number.
So the greatest common factor 50076 and 50089 is 13.

Also check out the Least Common Multiple of 50076 and 50089