What is the Greatest Common Factor of 53728 and 53747?

Greatest common factor (GCF) of 53728 and 53747 is 1.

GCF(53728,53747) = 1

We will now calculate the prime factors of 53728 and 53747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53728 and 53747.

How to find the GCF of 53728 and 53747?

We will first find the prime factorization of 53728 and 53747. After we will calculate the factors of 53728 and 53747 and find the biggest common factor number .

Step-1: Prime Factorization of 53728

Prime factors of 53728 are 2, 23, 73. Prime factorization of 53728 in exponential form is:

53728 = 2⁵ × 23¹ × 73¹

Step-2: Prime Factorization of 53747

Prime factors of 53747 are 71, 757. Prime factorization of 53747 in exponential form is:

53747 = 71¹ × 757¹

Step-3: Factors of 53728

List of positive integer factors of 53728 that divides 53728 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 73, 92, 146, 184, 292, 368, 584, 736, 1168, 1679, 2336, 3358, 6716, 13432, 26864

Step-4: Factors of 53747

List of positive integer factors of 53747 that divides 53728 without a remainder.

1, 71, 757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53728 and 53747. The biggest common factor number is the GCF number.
So the greatest common factor 53728 and 53747 is 1.

Also check out the Least Common Multiple of 53728 and 53747