What is the Greatest Common Factor of 46458 and 46466?

Greatest common factor (GCF) of 46458 and 46466 is 2.

GCF(46458,46466) = 2

We will now calculate the prime factors of 46458 and 46466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46458 and 46466.

How to find the GCF of 46458 and 46466?

We will first find the prime factorization of 46458 and 46466. After we will calculate the factors of 46458 and 46466 and find the biggest common factor number .

Step-1: Prime Factorization of 46458

Prime factors of 46458 are 2, 3, 29, 89. Prime factorization of 46458 in exponential form is:

46458 = 2¹ × 3² × 29¹ × 89¹

Step-2: Prime Factorization of 46466

Prime factors of 46466 are 2, 7, 3319. Prime factorization of 46466 in exponential form is:

46466 = 2¹ × 7¹ × 3319¹

Step-3: Factors of 46458

List of positive integer factors of 46458 that divides 46458 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 89, 174, 178, 261, 267, 522, 534, 801, 1602, 2581, 5162, 7743, 15486, 23229

Step-4: Factors of 46466

List of positive integer factors of 46466 that divides 46458 without a remainder.

1, 2, 7, 14, 3319, 6638, 23233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46458 and 46466. The biggest common factor number is the GCF number.
So the greatest common factor 46458 and 46466 is 2.

Also check out the Least Common Multiple of 46458 and 46466