What is the Greatest Common Factor of 54638 and 54657?

Greatest common factor (GCF) of 54638 and 54657 is 1.

GCF(54638,54657) = 1

We will now calculate the prime factors of 54638 and 54657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54638 and 54657.

How to find the GCF of 54638 and 54657?

We will first find the prime factorization of 54638 and 54657. After we will calculate the factors of 54638 and 54657 and find the biggest common factor number .

Step-1: Prime Factorization of 54638

Prime factors of 54638 are 2, 17, 1607. Prime factorization of 54638 in exponential form is:

54638 = 2¹ × 17¹ × 1607¹

Step-2: Prime Factorization of 54657

Prime factors of 54657 are 3, 6073. Prime factorization of 54657 in exponential form is:

54657 = 3² × 6073¹

Step-3: Factors of 54638

List of positive integer factors of 54638 that divides 54638 without a remainder.

1, 2, 17, 34, 1607, 3214, 27319

Step-4: Factors of 54657

List of positive integer factors of 54657 that divides 54638 without a remainder.

1, 3, 9, 6073, 18219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54638 and 54657. The biggest common factor number is the GCF number.
So the greatest common factor 54638 and 54657 is 1.

Also check out the Least Common Multiple of 54638 and 54657