What is the Greatest Common Factor of 50090 and 50105?

Greatest common factor (GCF) of 50090 and 50105 is 5.

GCF(50090,50105) = 5

We will now calculate the prime factors of 50090 and 50105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50090 and 50105.

How to find the GCF of 50090 and 50105?

We will first find the prime factorization of 50090 and 50105. After we will calculate the factors of 50090 and 50105 and find the biggest common factor number .

Step-1: Prime Factorization of 50090

Prime factors of 50090 are 2, 5, 5009. Prime factorization of 50090 in exponential form is:

50090 = 2¹ × 5¹ × 5009¹

Step-2: Prime Factorization of 50105

Prime factors of 50105 are 5, 11, 911. Prime factorization of 50105 in exponential form is:

50105 = 5¹ × 11¹ × 911¹

Step-3: Factors of 50090

List of positive integer factors of 50090 that divides 50090 without a remainder.

1, 2, 5, 10, 5009, 10018, 25045

Step-4: Factors of 50105

List of positive integer factors of 50105 that divides 50090 without a remainder.

1, 5, 11, 55, 911, 4555, 10021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50090 and 50105. The biggest common factor number is the GCF number.
So the greatest common factor 50090 and 50105 is 5.

Also check out the Least Common Multiple of 50090 and 50105