What is the Greatest Common Factor of 53754 and 53774?

Greatest common factor (GCF) of 53754 and 53774 is 2.

GCF(53754,53774) = 2

We will now calculate the prime factors of 53754 and 53774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53754 and 53774.

How to find the GCF of 53754 and 53774?

We will first find the prime factorization of 53754 and 53774. After we will calculate the factors of 53754 and 53774 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53774

Prime factors of 53774 are 2, 7, 23, 167. Prime factorization of 53774 in exponential form is:

53774 = 2¹ × 7¹ × 23¹ × 167¹

Step-3: Factors of 53754

List of positive integer factors of 53754 that divides 53754 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

Step-4: Factors of 53774

List of positive integer factors of 53774 that divides 53754 without a remainder.

1, 2, 7, 14, 23, 46, 161, 167, 322, 334, 1169, 2338, 3841, 7682, 26887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53754 and 53774. The biggest common factor number is the GCF number.
So the greatest common factor 53754 and 53774 is 2.

Also check out the Least Common Multiple of 53754 and 53774