What is the Greatest Common Factor of 50080 and 50090?

Greatest common factor (GCF) of 50080 and 50090 is 10.

GCF(50080,50090) = 10

We will now calculate the prime factors of 50080 and 50090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50080 and 50090.

How to find the GCF of 50080 and 50090?

We will first find the prime factorization of 50080 and 50090. After we will calculate the factors of 50080 and 50090 and find the biggest common factor number .

Step-1: Prime Factorization of 50080

Prime factors of 50080 are 2, 5, 313. Prime factorization of 50080 in exponential form is:

50080 = 2⁵ × 5¹ × 313¹

Step-2: 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-3: Factors of 50080

List of positive integer factors of 50080 that divides 50080 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 313, 626, 1252, 1565, 2504, 3130, 5008, 6260, 10016, 12520, 25040

Step-4: Factors of 50090

List of positive integer factors of 50090 that divides 50080 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50080 and 50090. The biggest common factor number is the GCF number.
So the greatest common factor 50080 and 50090 is 10.

Also check out the Least Common Multiple of 50080 and 50090