What is the Greatest Common Factor of 50080 and 50084?

Greatest common factor (GCF) of 50080 and 50084 is 4.

GCF(50080,50084) = 4

We will now calculate the prime factors of 50080 and 50084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50080 and 50084.

How to find the GCF of 50080 and 50084?

We will first find the prime factorization of 50080 and 50084. After we will calculate the factors of 50080 and 50084 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 50084

Prime factors of 50084 are 2, 19, 659. Prime factorization of 50084 in exponential form is:

50084 = 2² × 19¹ × 659¹

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 50084

List of positive integer factors of 50084 that divides 50080 without a remainder.

1, 2, 4, 19, 38, 76, 659, 1318, 2636, 12521, 25042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50080 and 50084. The biggest common factor number is the GCF number.
So the greatest common factor 50080 and 50084 is 4.

Also check out the Least Common Multiple of 50080 and 50084