What is the Greatest Common Factor of 46440 and 46458?

Greatest common factor (GCF) of 46440 and 46458 is 18.

GCF(46440,46458) = 18

We will now calculate the prime factors of 46440 and 46458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46440 and 46458.

How to find the GCF of 46440 and 46458?

We will first find the prime factorization of 46440 and 46458. After we will calculate the factors of 46440 and 46458 and find the biggest common factor number .

Step-1: Prime Factorization of 46440

Prime factors of 46440 are 2, 3, 5, 43. Prime factorization of 46440 in exponential form is:

46440 = 2³ × 3³ × 5¹ × 43¹

Step-2: 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-3: Factors of 46440

List of positive integer factors of 46440 that divides 46440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 43, 45, 54, 60, 72, 86, 90, 108, 120, 129, 135, 172, 180, 215, 216, 258, 270, 344, 360, 387, 430, 516, 540, 645, 774, 860, 1032, 1080, 1161, 1290, 1548, 1720, 1935, 2322, 2580, 3096, 3870, 4644, 5160, 5805, 7740, 9288, 11610, 15480, 23220

Step-4: Factors of 46458

List of positive integer factors of 46458 that divides 46440 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46440 and 46458. The biggest common factor number is the GCF number.
So the greatest common factor 46440 and 46458 is 18.

Also check out the Least Common Multiple of 46440 and 46458