What is the Greatest Common Factor of 52750 and 52762?

Greatest common factor (GCF) of 52750 and 52762 is 2.

GCF(52750,52762) = 2

We will now calculate the prime factors of 52750 and 52762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52750 and 52762.

How to find the GCF of 52750 and 52762?

We will first find the prime factorization of 52750 and 52762. After we will calculate the factors of 52750 and 52762 and find the biggest common factor number .

Step-1: Prime Factorization of 52750

Prime factors of 52750 are 2, 5, 211. Prime factorization of 52750 in exponential form is:

52750 = 2¹ × 5³ × 211¹

Step-2: Prime Factorization of 52762

Prime factors of 52762 are 2, 23, 31, 37. Prime factorization of 52762 in exponential form is:

52762 = 2¹ × 23¹ × 31¹ × 37¹

Step-3: Factors of 52750

List of positive integer factors of 52750 that divides 52750 without a remainder.

1, 2, 5, 10, 25, 50, 125, 211, 250, 422, 1055, 2110, 5275, 10550, 26375

Step-4: Factors of 52762

List of positive integer factors of 52762 that divides 52750 without a remainder.

1, 2, 23, 31, 37, 46, 62, 74, 713, 851, 1147, 1426, 1702, 2294, 26381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52750 and 52762. The biggest common factor number is the GCF number.
So the greatest common factor 52750 and 52762 is 2.

Also check out the Least Common Multiple of 52750 and 52762