What is the Greatest Common Factor of 52744 and 52763?

Greatest common factor (GCF) of 52744 and 52763 is 19.

GCF(52744,52763) = 19

We will now calculate the prime factors of 52744 and 52763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52744 and 52763.

How to find the GCF of 52744 and 52763?

We will first find the prime factorization of 52744 and 52763. After we will calculate the factors of 52744 and 52763 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 52763

Prime factors of 52763 are 19, 2777. Prime factorization of 52763 in exponential form is:

52763 = 19¹ × 2777¹

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 52763

List of positive integer factors of 52763 that divides 52744 without a remainder.

1, 19, 2777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52744 and 52763. The biggest common factor number is the GCF number.
So the greatest common factor 52744 and 52763 is 19.

Also check out the Least Common Multiple of 52744 and 52763