What is the Greatest Common Factor of 46848 and 46860?

Greatest common factor (GCF) of 46848 and 46860 is 12.

GCF(46848,46860) = 12

We will now calculate the prime factors of 46848 and 46860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46848 and 46860.

How to find the GCF of 46848 and 46860?

We will first find the prime factorization of 46848 and 46860. After we will calculate the factors of 46848 and 46860 and find the biggest common factor number .

Step-1: Prime Factorization of 46848

Prime factors of 46848 are 2, 3, 61. Prime factorization of 46848 in exponential form is:

46848 = 2⁸ × 3¹ × 61¹

Step-2: Prime Factorization of 46860

Prime factors of 46860 are 2, 3, 5, 11, 71. Prime factorization of 46860 in exponential form is:

46860 = 2² × 3¹ × 5¹ × 11¹ × 71¹

Step-3: Factors of 46848

List of positive integer factors of 46848 that divides 46848 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 61, 64, 96, 122, 128, 183, 192, 244, 256, 366, 384, 488, 732, 768, 976, 1464, 1952, 2928, 3904, 5856, 7808, 11712, 15616, 23424

Step-4: Factors of 46860

List of positive integer factors of 46860 that divides 46848 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 71, 110, 132, 142, 165, 213, 220, 284, 330, 355, 426, 660, 710, 781, 852, 1065, 1420, 1562, 2130, 2343, 3124, 3905, 4260, 4686, 7810, 9372, 11715, 15620, 23430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46848 and 46860. The biggest common factor number is the GCF number.
So the greatest common factor 46848 and 46860 is 12.

Also check out the Least Common Multiple of 46848 and 46860