What is the Greatest Common Factor of 46432 and 46440?

Greatest common factor (GCF) of 46432 and 46440 is 8.

GCF(46432,46440) = 8

We will now calculate the prime factors of 46432 and 46440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46432 and 46440.

How to find the GCF of 46432 and 46440?

We will first find the prime factorization of 46432 and 46440. After we will calculate the factors of 46432 and 46440 and find the biggest common factor number .

Step-1: Prime Factorization of 46432

Prime factors of 46432 are 2, 1451. Prime factorization of 46432 in exponential form is:

46432 = 2⁵ × 1451¹

Step-2: 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-3: Factors of 46432

List of positive integer factors of 46432 that divides 46432 without a remainder.

1, 2, 4, 8, 16, 32, 1451, 2902, 5804, 11608, 23216

Step-4: Factors of 46440

List of positive integer factors of 46440 that divides 46432 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46432 and 46440. The biggest common factor number is the GCF number.
So the greatest common factor 46432 and 46440 is 8.

Also check out the Least Common Multiple of 46432 and 46440