What is the Greatest Common Factor of 48840 and 48854?

Greatest common factor (GCF) of 48840 and 48854 is 2.

GCF(48840,48854) = 2

We will now calculate the prime factors of 48840 and 48854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48840 and 48854.

How to find the GCF of 48840 and 48854?

We will first find the prime factorization of 48840 and 48854. After we will calculate the factors of 48840 and 48854 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 48854

Prime factors of 48854 are 2, 13, 1879. Prime factorization of 48854 in exponential form is:

48854 = 2¹ × 13¹ × 1879¹

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 48854

List of positive integer factors of 48854 that divides 48840 without a remainder.

1, 2, 13, 26, 1879, 3758, 24427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48840 and 48854. The biggest common factor number is the GCF number.
So the greatest common factor 48840 and 48854 is 2.

Also check out the Least Common Multiple of 48840 and 48854