What is the Greatest Common Factor of 46880 and 46889?

Greatest common factor (GCF) of 46880 and 46889 is 1.

GCF(46880,46889) = 1

We will now calculate the prime factors of 46880 and 46889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46880 and 46889.

How to find the GCF of 46880 and 46889?

We will first find the prime factorization of 46880 and 46889. After we will calculate the factors of 46880 and 46889 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46889

Prime factors of 46889 are 46889. Prime factorization of 46889 in exponential form is:

46889 = 46889¹

Step-3: Factors of 46880

List of positive integer factors of 46880 that divides 46880 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

Step-4: Factors of 46889

List of positive integer factors of 46889 that divides 46880 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46880 and 46889. The biggest common factor number is the GCF number.
So the greatest common factor 46880 and 46889 is 1.

Also check out the Least Common Multiple of 46880 and 46889