What is the Greatest Common Factor of 46427 and 46440?

Greatest common factor (GCF) of 46427 and 46440 is 1.

GCF(46427,46440) = 1

We will now calculate the prime factors of 46427 and 46440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46427 and 46440.

How to find the GCF of 46427 and 46440?

We will first find the prime factorization of 46427 and 46440. After we will calculate the factors of 46427 and 46440 and find the biggest common factor number .

Step-1: Prime Factorization of 46427

Prime factors of 46427 are 17, 2731. Prime factorization of 46427 in exponential form is:

46427 = 17¹ × 2731¹

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 46427

List of positive integer factors of 46427 that divides 46427 without a remainder.

1, 17, 2731

Step-4: Factors of 46440

List of positive integer factors of 46440 that divides 46427 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 46427 and 46440. The biggest common factor number is the GCF number.
So the greatest common factor 46427 and 46440 is 1.

Also check out the Least Common Multiple of 46427 and 46440