What is the Greatest Common Factor of 54643 and 54661?

Greatest common factor (GCF) of 54643 and 54661 is 1.

GCF(54643,54661) = 1

We will now calculate the prime factors of 54643 and 54661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54643 and 54661.

How to find the GCF of 54643 and 54661?

We will first find the prime factorization of 54643 and 54661. After we will calculate the factors of 54643 and 54661 and find the biggest common factor number .

Step-1: Prime Factorization of 54643

Prime factors of 54643 are 53, 1031. Prime factorization of 54643 in exponential form is:

54643 = 53¹ × 1031¹

Step-2: Prime Factorization of 54661

Prime factors of 54661 are 47, 1163. Prime factorization of 54661 in exponential form is:

54661 = 47¹ × 1163¹

Step-3: Factors of 54643

List of positive integer factors of 54643 that divides 54643 without a remainder.

1, 53, 1031

Step-4: Factors of 54661

List of positive integer factors of 54661 that divides 54643 without a remainder.

1, 47, 1163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54643 and 54661. The biggest common factor number is the GCF number.
So the greatest common factor 54643 and 54661 is 1.

Also check out the Least Common Multiple of 54643 and 54661