What is the Greatest Common Factor of 52744 and 52757?

Greatest common factor (GCF) of 52744 and 52757 is 1.

GCF(52744,52757) = 1

We will now calculate the prime factors of 52744 and 52757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52744 and 52757.

How to find the GCF of 52744 and 52757?

We will first find the prime factorization of 52744 and 52757. After we will calculate the factors of 52744 and 52757 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 52757

Prime factors of 52757 are 52757. Prime factorization of 52757 in exponential form is:

52757 = 52757¹

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 52757

List of positive integer factors of 52757 that divides 52744 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52744 and 52757. The biggest common factor number is the GCF number.
So the greatest common factor 52744 and 52757 is 1.

Also check out the Least Common Multiple of 52744 and 52757