What is the Greatest Common Factor of 53744 and 53761?

Greatest common factor (GCF) of 53744 and 53761 is 1.

GCF(53744,53761) = 1

We will now calculate the prime factors of 53744 and 53761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53744 and 53761.

How to find the GCF of 53744 and 53761?

We will first find the prime factorization of 53744 and 53761. After we will calculate the factors of 53744 and 53761 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 53761

Prime factors of 53761 are 37, 1453. Prime factorization of 53761 in exponential form is:

53761 = 37¹ × 1453¹

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 53761

List of positive integer factors of 53761 that divides 53744 without a remainder.

1, 37, 1453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53744 and 53761. The biggest common factor number is the GCF number.
So the greatest common factor 53744 and 53761 is 1.

Also check out the Least Common Multiple of 53744 and 53761