What is the Greatest Common Factor of 48756 and 48763?

Greatest common factor (GCF) of 48756 and 48763 is 1.

GCF(48756,48763) = 1

We will now calculate the prime factors of 48756 and 48763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48756 and 48763.

How to find the GCF of 48756 and 48763?

We will first find the prime factorization of 48756 and 48763. After we will calculate the factors of 48756 and 48763 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 48763

Prime factors of 48763 are 11, 13, 31. Prime factorization of 48763 in exponential form is:

48763 = 11² × 13¹ × 31¹

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 48763

List of positive integer factors of 48763 that divides 48756 without a remainder.

1, 11, 13, 31, 121, 143, 341, 403, 1573, 3751, 4433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48756 and 48763. The biggest common factor number is the GCF number.
So the greatest common factor 48756 and 48763 is 1.

Also check out the Least Common Multiple of 48756 and 48763