What is the Greatest Common Factor of 53748 and 53754?

Greatest common factor (GCF) of 53748 and 53754 is 6.

GCF(53748,53754) = 6

We will now calculate the prime factors of 53748 and 53754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53748 and 53754.

How to find the GCF of 53748 and 53754?

We will first find the prime factorization of 53748 and 53754. After we will calculate the factors of 53748 and 53754 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 53754

Prime factors of 53754 are 2, 3, 17, 31. Prime factorization of 53754 in exponential form is:

53754 = 2¹ × 3¹ × 17² × 31¹

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 53754

List of positive integer factors of 53754 that divides 53748 without a remainder.

1, 2, 3, 6, 17, 31, 34, 51, 62, 93, 102, 186, 289, 527, 578, 867, 1054, 1581, 1734, 3162, 8959, 17918, 26877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53748 and 53754. The biggest common factor number is the GCF number.
So the greatest common factor 53748 and 53754 is 6.

Also check out the Least Common Multiple of 53748 and 53754