What is the Greatest Common Factor of 50525 and 50530?

Greatest common factor (GCF) of 50525 and 50530 is 5.

GCF(50525,50530) = 5

We will now calculate the prime factors of 50525 and 50530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50525 and 50530.

How to find the GCF of 50525 and 50530?

We will first find the prime factorization of 50525 and 50530. After we will calculate the factors of 50525 and 50530 and find the biggest common factor number .

Step-1: Prime Factorization of 50525

Prime factors of 50525 are 5, 43, 47. Prime factorization of 50525 in exponential form is:

50525 = 5² × 43¹ × 47¹

Step-2: Prime Factorization of 50530

Prime factors of 50530 are 2, 5, 31, 163. Prime factorization of 50530 in exponential form is:

50530 = 2¹ × 5¹ × 31¹ × 163¹

Step-3: Factors of 50525

List of positive integer factors of 50525 that divides 50525 without a remainder.

1, 5, 25, 43, 47, 215, 235, 1075, 1175, 2021, 10105

Step-4: Factors of 50530

List of positive integer factors of 50530 that divides 50525 without a remainder.

1, 2, 5, 10, 31, 62, 155, 163, 310, 326, 815, 1630, 5053, 10106, 25265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50525 and 50530. The biggest common factor number is the GCF number.
So the greatest common factor 50525 and 50530 is 5.

Also check out the Least Common Multiple of 50525 and 50530