What is the Greatest Common Factor of 53728 and 53735?

Greatest common factor (GCF) of 53728 and 53735 is 1.

GCF(53728,53735) = 1

We will now calculate the prime factors of 53728 and 53735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53728 and 53735.

How to find the GCF of 53728 and 53735?

We will first find the prime factorization of 53728 and 53735. After we will calculate the factors of 53728 and 53735 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 53735

Prime factors of 53735 are 5, 11, 977. Prime factorization of 53735 in exponential form is:

53735 = 5¹ × 11¹ × 977¹

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 53735

List of positive integer factors of 53735 that divides 53728 without a remainder.

1, 5, 11, 55, 977, 4885, 10747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53728 and 53735. The biggest common factor number is the GCF number.
So the greatest common factor 53728 and 53735 is 1.

Also check out the Least Common Multiple of 53728 and 53735