What is the Greatest Common Factor of 52744 and 52762?

Greatest common factor (GCF) of 52744 and 52762 is 2.

GCF(52744,52762) = 2

We will now calculate the prime factors of 52744 and 52762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52744 and 52762.

How to find the GCF of 52744 and 52762?

We will first find the prime factorization of 52744 and 52762. After we will calculate the factors of 52744 and 52762 and find the biggest common factor number .

Step-1: Prime Factorization of 52744

Prime factors of 52744 are 2, 19, 347. Prime factorization of 52744 in exponential form is:

52744 = 2³ × 19¹ × 347¹

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 52744

List of positive integer factors of 52744 that divides 52744 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 347, 694, 1388, 2776, 6593, 13186, 26372

Step-4: Factors of 52762

List of positive integer factors of 52762 that divides 52744 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 52744 and 52762. The biggest common factor number is the GCF number.
So the greatest common factor 52744 and 52762 is 2.

Also check out the Least Common Multiple of 52744 and 52762