What is the Greatest Common Factor of 46440 and 46460?

Greatest common factor (GCF) of 46440 and 46460 is 20.

GCF(46440,46460) = 20

We will now calculate the prime factors of 46440 and 46460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46440 and 46460.

How to find the GCF of 46440 and 46460?

We will first find the prime factorization of 46440 and 46460. After we will calculate the factors of 46440 and 46460 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 46460

Prime factors of 46460 are 2, 5, 23, 101. Prime factorization of 46460 in exponential form is:

46460 = 2² × 5¹ × 23¹ × 101¹

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 46460

List of positive integer factors of 46460 that divides 46440 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 101, 115, 202, 230, 404, 460, 505, 1010, 2020, 2323, 4646, 9292, 11615, 23230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46440 and 46460. The biggest common factor number is the GCF number.
So the greatest common factor 46440 and 46460 is 20.

Also check out the Least Common Multiple of 46440 and 46460