What is the Greatest Common Factor of 46430 and 46440?

Greatest common factor (GCF) of 46430 and 46440 is 10.

GCF(46430,46440) = 10

We will now calculate the prime factors of 46430 and 46440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46430 and 46440.

How to find the GCF of 46430 and 46440?

We will first find the prime factorization of 46430 and 46440. After we will calculate the factors of 46430 and 46440 and find the biggest common factor number .

Step-1: Prime Factorization of 46430

Prime factors of 46430 are 2, 5, 4643. Prime factorization of 46430 in exponential form is:

46430 = 2¹ × 5¹ × 4643¹

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 46430

List of positive integer factors of 46430 that divides 46430 without a remainder.

1, 2, 5, 10, 4643, 9286, 23215

Step-4: Factors of 46440

List of positive integer factors of 46440 that divides 46430 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 46430 and 46440. The biggest common factor number is the GCF number.
So the greatest common factor 46430 and 46440 is 10.

Also check out the Least Common Multiple of 46430 and 46440