What is the Greatest Common Factor of 48738 and 48750?

Greatest common factor (GCF) of 48738 and 48750 is 6.

GCF(48738,48750) = 6

We will now calculate the prime factors of 48738 and 48750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48738 and 48750.

How to find the GCF of 48738 and 48750?

We will first find the prime factorization of 48738 and 48750. After we will calculate the factors of 48738 and 48750 and find the biggest common factor number .

Step-1: Prime Factorization of 48738

Prime factors of 48738 are 2, 3, 8123. Prime factorization of 48738 in exponential form is:

48738 = 2¹ × 3¹ × 8123¹

Step-2: 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-3: Factors of 48738

List of positive integer factors of 48738 that divides 48738 without a remainder.

1, 2, 3, 6, 8123, 16246, 24369

Step-4: Factors of 48750

List of positive integer factors of 48750 that divides 48738 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48738 and 48750. The biggest common factor number is the GCF number.
So the greatest common factor 48738 and 48750 is 6.

Also check out the Least Common Multiple of 48738 and 48750