What is the Greatest Common Factor of 54536 and 54553?

Greatest common factor (GCF) of 54536 and 54553 is 17.

GCF(54536,54553) = 17

We will now calculate the prime factors of 54536 and 54553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54536 and 54553.

How to find the GCF of 54536 and 54553?

We will first find the prime factorization of 54536 and 54553. After we will calculate the factors of 54536 and 54553 and find the biggest common factor number .

Step-1: Prime Factorization of 54536

Prime factors of 54536 are 2, 17, 401. Prime factorization of 54536 in exponential form is:

54536 = 2³ × 17¹ × 401¹

Step-2: Prime Factorization of 54553

Prime factors of 54553 are 17, 3209. Prime factorization of 54553 in exponential form is:

54553 = 17¹ × 3209¹

Step-3: Factors of 54536

List of positive integer factors of 54536 that divides 54536 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 401, 802, 1604, 3208, 6817, 13634, 27268

Step-4: Factors of 54553

List of positive integer factors of 54553 that divides 54536 without a remainder.

1, 17, 3209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54536 and 54553. The biggest common factor number is the GCF number.
So the greatest common factor 54536 and 54553 is 17.

Also check out the Least Common Multiple of 54536 and 54553