What is the Greatest Common Factor of 50570 and 50583?

Greatest common factor (GCF) of 50570 and 50583 is 13.

GCF(50570,50583) = 13

We will now calculate the prime factors of 50570 and 50583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50570 and 50583.

How to find the GCF of 50570 and 50583?

We will first find the prime factorization of 50570 and 50583. After we will calculate the factors of 50570 and 50583 and find the biggest common factor number .

Step-1: Prime Factorization of 50570

Prime factors of 50570 are 2, 5, 13, 389. Prime factorization of 50570 in exponential form is:

50570 = 2¹ × 5¹ × 13¹ × 389¹

Step-2: Prime Factorization of 50583

Prime factors of 50583 are 3, 13, 1297. Prime factorization of 50583 in exponential form is:

50583 = 3¹ × 13¹ × 1297¹

Step-3: Factors of 50570

List of positive integer factors of 50570 that divides 50570 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 389, 778, 1945, 3890, 5057, 10114, 25285

Step-4: Factors of 50583

List of positive integer factors of 50583 that divides 50570 without a remainder.

1, 3, 13, 39, 1297, 3891, 16861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50570 and 50583. The biggest common factor number is the GCF number.
So the greatest common factor 50570 and 50583 is 13.

Also check out the Least Common Multiple of 50570 and 50583