What is the Greatest Common Factor of 46860 and 46869?

Greatest common factor (GCF) of 46860 and 46869 is 3.

GCF(46860,46869) = 3

We will now calculate the prime factors of 46860 and 46869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46860 and 46869.

How to find the GCF of 46860 and 46869?

We will first find the prime factorization of 46860 and 46869. After we will calculate the factors of 46860 and 46869 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 46869

Prime factors of 46869 are 3, 17, 919. Prime factorization of 46869 in exponential form is:

46869 = 3¹ × 17¹ × 919¹

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 46869

List of positive integer factors of 46869 that divides 46860 without a remainder.

1, 3, 17, 51, 919, 2757, 15623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46860 and 46869. The biggest common factor number is the GCF number.
So the greatest common factor 46860 and 46869 is 3.

Also check out the Least Common Multiple of 46860 and 46869