What is the Greatest Common Factor of 53568 and 53577?

Greatest common factor (GCF) of 53568 and 53577 is 9.

GCF(53568,53577) = 9

We will now calculate the prime factors of 53568 and 53577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53568 and 53577.

How to find the GCF of 53568 and 53577?

We will first find the prime factorization of 53568 and 53577. After we will calculate the factors of 53568 and 53577 and find the biggest common factor number .

Step-1: Prime Factorization of 53568

Prime factors of 53568 are 2, 3, 31. Prime factorization of 53568 in exponential form is:

53568 = 2⁶ × 3³ × 31¹

Step-2: Prime Factorization of 53577

Prime factors of 53577 are 3, 5953. Prime factorization of 53577 in exponential form is:

53577 = 3² × 5953¹

Step-3: Factors of 53568

List of positive integer factors of 53568 that divides 53568 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 31, 32, 36, 48, 54, 62, 64, 72, 93, 96, 108, 124, 144, 186, 192, 216, 248, 279, 288, 372, 432, 496, 558, 576, 744, 837, 864, 992, 1116, 1488, 1674, 1728, 1984, 2232, 2976, 3348, 4464, 5952, 6696, 8928, 13392, 17856, 26784

Step-4: Factors of 53577

List of positive integer factors of 53577 that divides 53568 without a remainder.

1, 3, 9, 5953, 17859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53568 and 53577. The biggest common factor number is the GCF number.
So the greatest common factor 53568 and 53577 is 9.

Also check out the Least Common Multiple of 53568 and 53577