What is the Greatest Common Factor of 46431 and 46450?

Greatest common factor (GCF) of 46431 and 46450 is 1.

GCF(46431,46450) = 1

We will now calculate the prime factors of 46431 and 46450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46431 and 46450.

How to find the GCF of 46431 and 46450?

We will first find the prime factorization of 46431 and 46450. After we will calculate the factors of 46431 and 46450 and find the biggest common factor number .

Step-1: Prime Factorization of 46431

Prime factors of 46431 are 3, 7, 11, 67. Prime factorization of 46431 in exponential form is:

46431 = 3² × 7¹ × 11¹ × 67¹

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 46431

List of positive integer factors of 46431 that divides 46431 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 67, 77, 99, 201, 231, 469, 603, 693, 737, 1407, 2211, 4221, 5159, 6633, 15477

Step-4: Factors of 46450

List of positive integer factors of 46450 that divides 46431 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 46431 and 46450. The biggest common factor number is the GCF number.
So the greatest common factor 46431 and 46450 is 1.

Also check out the Least Common Multiple of 46431 and 46450