What is the Greatest Common Factor of 46341 and 46360?

Greatest common factor (GCF) of 46341 and 46360 is 19.

GCF(46341,46360) = 19

We will now calculate the prime factors of 46341 and 46360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46341 and 46360.

How to find the GCF of 46341 and 46360?

We will first find the prime factorization of 46341 and 46360. After we will calculate the factors of 46341 and 46360 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 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 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 46360

List of positive integer factors of 46360 that divides 46341 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 46341 and 46360. The biggest common factor number is the GCF number.
So the greatest common factor 46341 and 46360 is 19.

Also check out the Least Common Multiple of 46341 and 46360