What is the Greatest Common Factor of 52744 and 52748?

Greatest common factor (GCF) of 52744 and 52748 is 4.

GCF(52744,52748) = 4

We will now calculate the prime factors of 52744 and 52748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52744 and 52748.

How to find the GCF of 52744 and 52748?

We will first find the prime factorization of 52744 and 52748. After we will calculate the factors of 52744 and 52748 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 52748

Prime factors of 52748 are 2, 13187. Prime factorization of 52748 in exponential form is:

52748 = 2² × 13187¹

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 52748

List of positive integer factors of 52748 that divides 52744 without a remainder.

1, 2, 4, 13187, 26374

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52744 and 52748. The biggest common factor number is the GCF number.
So the greatest common factor 52744 and 52748 is 4.

Also check out the Least Common Multiple of 52744 and 52748