What is the Greatest Common Factor of 46360 and 46379?

Greatest common factor (GCF) of 46360 and 46379 is 19.

GCF(46360,46379) = 19

We will now calculate the prime factors of 46360 and 46379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46360 and 46379.

How to find the GCF of 46360 and 46379?

We will first find the prime factorization of 46360 and 46379. After we will calculate the factors of 46360 and 46379 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46379

Prime factors of 46379 are 19, 2441. Prime factorization of 46379 in exponential form is:

46379 = 19¹ × 2441¹

Step-3: Factors of 46360

List of positive integer factors of 46360 that divides 46360 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

Step-4: Factors of 46379

List of positive integer factors of 46379 that divides 46360 without a remainder.

1, 19, 2441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46360 and 46379. The biggest common factor number is the GCF number.
So the greatest common factor 46360 and 46379 is 19.

Also check out the Least Common Multiple of 46360 and 46379