What is the Greatest Common Factor of 46350 and 46360?

Greatest common factor (GCF) of 46350 and 46360 is 10.

GCF(46350,46360) = 10

We will now calculate the prime factors of 46350 and 46360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46350 and 46360.

How to find the GCF of 46350 and 46360?

We will first find the prime factorization of 46350 and 46360. After we will calculate the factors of 46350 and 46360 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46360

Prime factors of 46360 are 2, 5, 19, 61. Prime factorization of 46360 in exponential form is:

46360 = 2³ × 5¹ × 19¹ × 61¹

Step-3: Factors of 46350

List of positive integer factors of 46350 that divides 46350 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

Step-4: Factors of 46360

List of positive integer factors of 46360 that divides 46350 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 61, 76, 95, 122, 152, 190, 244, 305, 380, 488, 610, 760, 1159, 1220, 2318, 2440, 4636, 5795, 9272, 11590, 23180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46350 and 46360. The biggest common factor number is the GCF number.
So the greatest common factor 46350 and 46360 is 10.

Also check out the Least Common Multiple of 46350 and 46360