What is the Greatest Common Factor of 54627 and 54632?

Greatest common factor (GCF) of 54627 and 54632 is 1.

GCF(54627,54632) = 1

We will now calculate the prime factors of 54627 and 54632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54627 and 54632.

How to find the GCF of 54627 and 54632?

We will first find the prime factorization of 54627 and 54632. After we will calculate the factors of 54627 and 54632 and find the biggest common factor number .

Step-1: Prime Factorization of 54627

Prime factors of 54627 are 3, 131, 139. Prime factorization of 54627 in exponential form is:

54627 = 3¹ × 131¹ × 139¹

Step-2: Prime Factorization of 54632

Prime factors of 54632 are 2, 6829. Prime factorization of 54632 in exponential form is:

54632 = 2³ × 6829¹

Step-3: Factors of 54627

List of positive integer factors of 54627 that divides 54627 without a remainder.

1, 3, 131, 139, 393, 417, 18209

Step-4: Factors of 54632

List of positive integer factors of 54632 that divides 54627 without a remainder.

1, 2, 4, 8, 6829, 13658, 27316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54627 and 54632. The biggest common factor number is the GCF number.
So the greatest common factor 54627 and 54632 is 1.

Also check out the Least Common Multiple of 54627 and 54632