What is the Greatest Common Factor of 48741 and 48757?

Greatest common factor (GCF) of 48741 and 48757 is 1.

GCF(48741,48757) = 1

We will now calculate the prime factors of 48741 and 48757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48741 and 48757.

How to find the GCF of 48741 and 48757?

We will first find the prime factorization of 48741 and 48757. After we will calculate the factors of 48741 and 48757 and find the biggest common factor number .

Step-1: Prime Factorization of 48741

Prime factors of 48741 are 3, 7, 11, 211. Prime factorization of 48741 in exponential form is:

48741 = 3¹ × 7¹ × 11¹ × 211¹

Step-2: Prime Factorization of 48757

Prime factors of 48757 are 48757. Prime factorization of 48757 in exponential form is:

48757 = 48757¹

Step-3: Factors of 48741

List of positive integer factors of 48741 that divides 48741 without a remainder.

1, 3, 7, 11, 21, 33, 77, 211, 231, 633, 1477, 2321, 4431, 6963, 16247

Step-4: Factors of 48757

List of positive integer factors of 48757 that divides 48741 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48741 and 48757. The biggest common factor number is the GCF number.
So the greatest common factor 48741 and 48757 is 1.

Also check out the Least Common Multiple of 48741 and 48757