What is the Greatest Common Factor of 48727 and 48741?

Greatest common factor (GCF) of 48727 and 48741 is 7.

GCF(48727,48741) = 7

We will now calculate the prime factors of 48727 and 48741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48727 and 48741.

How to find the GCF of 48727 and 48741?

We will first find the prime factorization of 48727 and 48741. After we will calculate the factors of 48727 and 48741 and find the biggest common factor number .

Step-1: Prime Factorization of 48727

Prime factors of 48727 are 7, 6961. Prime factorization of 48727 in exponential form is:

48727 = 7¹ × 6961¹

Step-2: 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-3: Factors of 48727

List of positive integer factors of 48727 that divides 48727 without a remainder.

1, 7, 6961

Step-4: Factors of 48741

List of positive integer factors of 48741 that divides 48727 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48727 and 48741. The biggest common factor number is the GCF number.
So the greatest common factor 48727 and 48741 is 7.

Also check out the Least Common Multiple of 48727 and 48741