What is the Greatest Common Factor of 46335 and 46350?

Greatest common factor (GCF) of 46335 and 46350 is 15.

GCF(46335,46350) = 15

We will now calculate the prime factors of 46335 and 46350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46335 and 46350.

How to find the GCF of 46335 and 46350?

We will first find the prime factorization of 46335 and 46350. After we will calculate the factors of 46335 and 46350 and find the biggest common factor number .

Step-1: Prime Factorization of 46335

Prime factors of 46335 are 3, 5, 3089. Prime factorization of 46335 in exponential form is:

46335 = 3¹ × 5¹ × 3089¹

Step-2: Prime Factorization of 46350

Prime factors of 46350 are 2, 3, 5, 103. Prime factorization of 46350 in exponential form is:

46350 = 2¹ × 3² × 5² × 103¹

Step-3: Factors of 46335

List of positive integer factors of 46335 that divides 46335 without a remainder.

1, 3, 5, 15, 3089, 9267, 15445

Step-4: Factors of 46350

List of positive integer factors of 46350 that divides 46335 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 103, 150, 206, 225, 309, 450, 515, 618, 927, 1030, 1545, 1854, 2575, 3090, 4635, 5150, 7725, 9270, 15450, 23175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46335 and 46350. The biggest common factor number is the GCF number.
So the greatest common factor 46335 and 46350 is 15.

Also check out the Least Common Multiple of 46335 and 46350