What is the Greatest Common Factor of 46866 and 46874?

Greatest common factor (GCF) of 46866 and 46874 is 2.

GCF(46866,46874) = 2

We will now calculate the prime factors of 46866 and 46874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46866 and 46874.

How to find the GCF of 46866 and 46874?

We will first find the prime factorization of 46866 and 46874. After we will calculate the factors of 46866 and 46874 and find the biggest common factor number .

Step-1: Prime Factorization of 46866

Prime factors of 46866 are 2, 3, 73, 107. Prime factorization of 46866 in exponential form is:

46866 = 2¹ × 3¹ × 73¹ × 107¹

Step-2: 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-3: Factors of 46866

List of positive integer factors of 46866 that divides 46866 without a remainder.

1, 2, 3, 6, 73, 107, 146, 214, 219, 321, 438, 642, 7811, 15622, 23433

Step-4: Factors of 46874

List of positive integer factors of 46874 that divides 46866 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46866 and 46874. The biggest common factor number is the GCF number.
So the greatest common factor 46866 and 46874 is 2.

Also check out the Least Common Multiple of 46866 and 46874