What is the Greatest Common Factor of 48750 and 48763?

Greatest common factor (GCF) of 48750 and 48763 is 13.

GCF(48750,48763) = 13

We will now calculate the prime factors of 48750 and 48763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48750 and 48763.

How to find the GCF of 48750 and 48763?

We will first find the prime factorization of 48750 and 48763. After we will calculate the factors of 48750 and 48763 and find the biggest common factor number .

Step-1: Prime Factorization of 48750

Prime factors of 48750 are 2, 3, 5, 13. Prime factorization of 48750 in exponential form is:

48750 = 2¹ × 3¹ × 5⁴ × 13¹

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 48750

List of positive integer factors of 48750 that divides 48750 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 125, 130, 150, 195, 250, 325, 375, 390, 625, 650, 750, 975, 1250, 1625, 1875, 1950, 3250, 3750, 4875, 8125, 9750, 16250, 24375

Step-4: Factors of 48763

List of positive integer factors of 48763 that divides 48750 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 48750 and 48763. The biggest common factor number is the GCF number.
So the greatest common factor 48750 and 48763 is 13.

Also check out the Least Common Multiple of 48750 and 48763