What is the Greatest Common Factor of 46854 and 46864?

Greatest common factor (GCF) of 46854 and 46864 is 2.

GCF(46854,46864) = 2

We will now calculate the prime factors of 46854 and 46864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46854 and 46864.

How to find the GCF of 46854 and 46864?

We will first find the prime factorization of 46854 and 46864. After we will calculate the factors of 46854 and 46864 and find the biggest common factor number .

Step-1: Prime Factorization of 46854

Prime factors of 46854 are 2, 3, 19, 137. Prime factorization of 46854 in exponential form is:

46854 = 2¹ × 3² × 19¹ × 137¹

Step-2: Prime Factorization of 46864

Prime factors of 46864 are 2, 29, 101. Prime factorization of 46864 in exponential form is:

46864 = 2⁴ × 29¹ × 101¹

Step-3: Factors of 46854

List of positive integer factors of 46854 that divides 46854 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 137, 171, 274, 342, 411, 822, 1233, 2466, 2603, 5206, 7809, 15618, 23427

Step-4: Factors of 46864

List of positive integer factors of 46864 that divides 46854 without a remainder.

1, 2, 4, 8, 16, 29, 58, 101, 116, 202, 232, 404, 464, 808, 1616, 2929, 5858, 11716, 23432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46854 and 46864. The biggest common factor number is the GCF number.
So the greatest common factor 46854 and 46864 is 2.

Also check out the Least Common Multiple of 46854 and 46864