What is the Greatest Common Factor of 46440 and 46450?

Greatest common factor (GCF) of 46440 and 46450 is 10.

GCF(46440,46450) = 10

We will now calculate the prime factors of 46440 and 46450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46440 and 46450.

How to find the GCF of 46440 and 46450?

We will first find the prime factorization of 46440 and 46450. After we will calculate the factors of 46440 and 46450 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 46450

Prime factors of 46450 are 2, 5, 929. Prime factorization of 46450 in exponential form is:

46450 = 2¹ × 5² × 929¹

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 46450

List of positive integer factors of 46450 that divides 46440 without a remainder.

1, 2, 5, 10, 25, 50, 929, 1858, 4645, 9290, 23225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46440 and 46450. The biggest common factor number is the GCF number.
So the greatest common factor 46440 and 46450 is 10.

Also check out the Least Common Multiple of 46440 and 46450