What is the Greatest Common Factor of 48750 and 48766?

Greatest common factor (GCF) of 48750 and 48766 is 2.

GCF(48750,48766) = 2

We will now calculate the prime factors of 48750 and 48766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48750 and 48766.

How to find the GCF of 48750 and 48766?

We will first find the prime factorization of 48750 and 48766. After we will calculate the factors of 48750 and 48766 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 48766

Prime factors of 48766 are 2, 37, 659. Prime factorization of 48766 in exponential form is:

48766 = 2¹ × 37¹ × 659¹

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 48766

List of positive integer factors of 48766 that divides 48750 without a remainder.

1, 2, 37, 74, 659, 1318, 24383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48750 and 48766. The biggest common factor number is the GCF number.
So the greatest common factor 48750 and 48766 is 2.

Also check out the Least Common Multiple of 48750 and 48766