What is the Greatest Common Factor of 48840 and 48850?

Greatest common factor (GCF) of 48840 and 48850 is 10.

GCF(48840,48850) = 10

We will now calculate the prime factors of 48840 and 48850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48840 and 48850.

How to find the GCF of 48840 and 48850?

We will first find the prime factorization of 48840 and 48850. After we will calculate the factors of 48840 and 48850 and find the biggest common factor number .

Step-1: Prime Factorization of 48840

Prime factors of 48840 are 2, 3, 5, 11, 37. Prime factorization of 48840 in exponential form is:

48840 = 2³ × 3¹ × 5¹ × 11¹ × 37¹

Step-2: Prime Factorization of 48850

Prime factors of 48850 are 2, 5, 977. Prime factorization of 48850 in exponential form is:

48850 = 2¹ × 5² × 977¹

Step-3: Factors of 48840

List of positive integer factors of 48840 that divides 48840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 37, 40, 44, 55, 60, 66, 74, 88, 110, 111, 120, 132, 148, 165, 185, 220, 222, 264, 296, 330, 370, 407, 440, 444, 555, 660, 740, 814, 888, 1110, 1221, 1320, 1480, 1628, 2035, 2220, 2442, 3256, 4070, 4440, 4884, 6105, 8140, 9768, 12210, 16280, 24420

Step-4: Factors of 48850

List of positive integer factors of 48850 that divides 48840 without a remainder.

1, 2, 5, 10, 25, 50, 977, 1954, 4885, 9770, 24425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48840 and 48850. The biggest common factor number is the GCF number.
So the greatest common factor 48840 and 48850 is 10.

Also check out the Least Common Multiple of 48840 and 48850