What is the Greatest Common Factor of 48756 and 48773?

Greatest common factor (GCF) of 48756 and 48773 is 17.

GCF(48756,48773) = 17

We will now calculate the prime factors of 48756 and 48773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48756 and 48773.

How to find the GCF of 48756 and 48773?

We will first find the prime factorization of 48756 and 48773. After we will calculate the factors of 48756 and 48773 and find the biggest common factor number .

Step-1: Prime Factorization of 48756

Prime factors of 48756 are 2, 3, 17, 239. Prime factorization of 48756 in exponential form is:

48756 = 2² × 3¹ × 17¹ × 239¹

Step-2: Prime Factorization of 48773

Prime factors of 48773 are 17, 19, 151. Prime factorization of 48773 in exponential form is:

48773 = 17¹ × 19¹ × 151¹

Step-3: Factors of 48756

List of positive integer factors of 48756 that divides 48756 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 239, 478, 717, 956, 1434, 2868, 4063, 8126, 12189, 16252, 24378

Step-4: Factors of 48773

List of positive integer factors of 48773 that divides 48756 without a remainder.

1, 17, 19, 151, 323, 2567, 2869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48756 and 48773. The biggest common factor number is the GCF number.
So the greatest common factor 48756 and 48773 is 17.

Also check out the Least Common Multiple of 48756 and 48773