What is the Greatest Common Factor of 48840 and 48858?

Greatest common factor (GCF) of 48840 and 48858 is 6.

GCF(48840,48858) = 6

We will now calculate the prime factors of 48840 and 48858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48840 and 48858.

How to find the GCF of 48840 and 48858?

We will first find the prime factorization of 48840 and 48858. After we will calculate the factors of 48840 and 48858 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 48858

Prime factors of 48858 are 2, 3, 17, 479. Prime factorization of 48858 in exponential form is:

48858 = 2¹ × 3¹ × 17¹ × 479¹

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 48858

List of positive integer factors of 48858 that divides 48840 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 479, 958, 1437, 2874, 8143, 16286, 24429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48840 and 48858. The biggest common factor number is the GCF number.
So the greatest common factor 48840 and 48858 is 6.

Also check out the Least Common Multiple of 48840 and 48858