What is the Greatest Common Factor of 48657 and 48661?

Greatest common factor (GCF) of 48657 and 48661 is 1.

GCF(48657,48661) = 1

We will now calculate the prime factors of 48657 and 48661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48657 and 48661.

How to find the GCF of 48657 and 48661?

We will first find the prime factorization of 48657 and 48661. After we will calculate the factors of 48657 and 48661 and find the biggest common factor number .

Step-1: Prime Factorization of 48657

Prime factors of 48657 are 3, 7, 331. Prime factorization of 48657 in exponential form is:

48657 = 3¹ × 7² × 331¹

Step-2: Prime Factorization of 48661

Prime factors of 48661 are 48661. Prime factorization of 48661 in exponential form is:

48661 = 48661¹

Step-3: Factors of 48657

List of positive integer factors of 48657 that divides 48657 without a remainder.

1, 3, 7, 21, 49, 147, 331, 993, 2317, 6951, 16219

Step-4: Factors of 48661

List of positive integer factors of 48661 that divides 48657 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48657 and 48661. The biggest common factor number is the GCF number.
So the greatest common factor 48657 and 48661 is 1.

Also check out the Least Common Multiple of 48657 and 48661