What is the Greatest Common Factor of 46860 and 46880?

Greatest common factor (GCF) of 46860 and 46880 is 20.

GCF(46860,46880) = 20

We will now calculate the prime factors of 46860 and 46880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46860 and 46880.

How to find the GCF of 46860 and 46880?

We will first find the prime factorization of 46860 and 46880. After we will calculate the factors of 46860 and 46880 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46880

Prime factors of 46880 are 2, 5, 293. Prime factorization of 46880 in exponential form is:

46880 = 2⁵ × 5¹ × 293¹

Step-3: Factors of 46860

List of positive integer factors of 46860 that divides 46860 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

Step-4: Factors of 46880

List of positive integer factors of 46880 that divides 46860 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 293, 586, 1172, 1465, 2344, 2930, 4688, 5860, 9376, 11720, 23440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46860 and 46880. The biggest common factor number is the GCF number.
So the greatest common factor 46860 and 46880 is 20.

Also check out the Least Common Multiple of 46860 and 46880