What is the Greatest Common Factor of 46341 and 46350?

Greatest common factor (GCF) of 46341 and 46350 is 9.

GCF(46341,46350) = 9

We will now calculate the prime factors of 46341 and 46350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46341 and 46350.

How to find the GCF of 46341 and 46350?

We will first find the prime factorization of 46341 and 46350. After we will calculate the factors of 46341 and 46350 and find the biggest common factor number .

Step-1: Prime Factorization of 46341

Prime factors of 46341 are 3, 19, 271. Prime factorization of 46341 in exponential form is:

46341 = 3² × 19¹ × 271¹

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 46341

List of positive integer factors of 46341 that divides 46341 without a remainder.

1, 3, 9, 19, 57, 171, 271, 813, 2439, 5149, 15447

Step-4: Factors of 46350

List of positive integer factors of 46350 that divides 46341 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 46341 and 46350. The biggest common factor number is the GCF number.
So the greatest common factor 46341 and 46350 is 9.

Also check out the Least Common Multiple of 46341 and 46350