What is the Greatest Common Factor of 46874 and 46880?

Greatest common factor (GCF) of 46874 and 46880 is 2.

GCF(46874,46880) = 2

We will now calculate the prime factors of 46874 and 46880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46874 and 46880.

How to find the GCF of 46874 and 46880?

We will first find the prime factorization of 46874 and 46880. After we will calculate the factors of 46874 and 46880 and find the biggest common factor number .

Step-1: Prime Factorization of 46874

Prime factors of 46874 are 2, 23, 1019. Prime factorization of 46874 in exponential form is:

46874 = 2¹ × 23¹ × 1019¹

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 46874

List of positive integer factors of 46874 that divides 46874 without a remainder.

1, 2, 23, 46, 1019, 2038, 23437

Step-4: Factors of 46880

List of positive integer factors of 46880 that divides 46874 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 46874 and 46880. The biggest common factor number is the GCF number.
So the greatest common factor 46874 and 46880 is 2.

Also check out the Least Common Multiple of 46874 and 46880