What is the Greatest Common Factor of 53748 and 53764?

Greatest common factor (GCF) of 53748 and 53764 is 4.

GCF(53748,53764) = 4

We will now calculate the prime factors of 53748 and 53764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53748 and 53764.

How to find the GCF of 53748 and 53764?

We will first find the prime factorization of 53748 and 53764. After we will calculate the factors of 53748 and 53764 and find the biggest common factor number .

Step-1: Prime Factorization of 53748

Prime factors of 53748 are 2, 3, 1493. Prime factorization of 53748 in exponential form is:

53748 = 2² × 3² × 1493¹

Step-2: Prime Factorization of 53764

Prime factors of 53764 are 2, 13441. Prime factorization of 53764 in exponential form is:

53764 = 2² × 13441¹

Step-3: Factors of 53748

List of positive integer factors of 53748 that divides 53748 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1493, 2986, 4479, 5972, 8958, 13437, 17916, 26874

Step-4: Factors of 53764

List of positive integer factors of 53764 that divides 53748 without a remainder.

1, 2, 4, 13441, 26882

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53748 and 53764. The biggest common factor number is the GCF number.
So the greatest common factor 53748 and 53764 is 4.

Also check out the Least Common Multiple of 53748 and 53764