What is the Greatest Common Factor of 46860 and 46875?

Greatest common factor (GCF) of 46860 and 46875 is 15.

GCF(46860,46875) = 15

We will now calculate the prime factors of 46860 and 46875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46860 and 46875.

How to find the GCF of 46860 and 46875?

We will first find the prime factorization of 46860 and 46875. After we will calculate the factors of 46860 and 46875 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 46875

Prime factors of 46875 are 3, 5. Prime factorization of 46875 in exponential form is:

46875 = 3¹ × 5⁶

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 46875

List of positive integer factors of 46875 that divides 46860 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375, 625, 1875, 3125, 9375, 15625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46860 and 46875. The biggest common factor number is the GCF number.
So the greatest common factor 46860 and 46875 is 15.

Also check out the Least Common Multiple of 46860 and 46875