What is the Greatest Common Factor of 53744 and 53754?

Greatest common factor (GCF) of 53744 and 53754 is 2.

GCF(53744,53754) = 2

We will now calculate the prime factors of 53744 and 53754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53744 and 53754.

How to find the GCF of 53744 and 53754?

We will first find the prime factorization of 53744 and 53754. After we will calculate the factors of 53744 and 53754 and find the biggest common factor number .

Step-1: Prime Factorization of 53744

Prime factors of 53744 are 2, 3359. Prime factorization of 53744 in exponential form is:

53744 = 2⁴ × 3359¹

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 53744

List of positive integer factors of 53744 that divides 53744 without a remainder.

1, 2, 4, 8, 16, 3359, 6718, 13436, 26872

Step-4: Factors of 53754

List of positive integer factors of 53754 that divides 53744 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 53744 and 53754. The biggest common factor number is the GCF number.
So the greatest common factor 53744 and 53754 is 2.

Also check out the Least Common Multiple of 53744 and 53754