What is the Greatest Common Factor of 53050 and 53063?

Greatest common factor (GCF) of 53050 and 53063 is 1.

GCF(53050,53063) = 1

We will now calculate the prime factors of 53050 and 53063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53050 and 53063.

How to find the GCF of 53050 and 53063?

We will first find the prime factorization of 53050 and 53063. After we will calculate the factors of 53050 and 53063 and find the biggest common factor number .

Step-1: Prime Factorization of 53050

Prime factors of 53050 are 2, 5, 1061. Prime factorization of 53050 in exponential form is:

53050 = 2¹ × 5² × 1061¹

Step-2: Prime Factorization of 53063

Prime factors of 53063 are 47, 1129. Prime factorization of 53063 in exponential form is:

53063 = 47¹ × 1129¹

Step-3: Factors of 53050

List of positive integer factors of 53050 that divides 53050 without a remainder.

1, 2, 5, 10, 25, 50, 1061, 2122, 5305, 10610, 26525

Step-4: Factors of 53063

List of positive integer factors of 53063 that divides 53050 without a remainder.

1, 47, 1129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53050 and 53063. The biggest common factor number is the GCF number.
So the greatest common factor 53050 and 53063 is 1.

Also check out the Least Common Multiple of 53050 and 53063