What is the Greatest Common Factor of 46322 and 46341?

Greatest common factor (GCF) of 46322 and 46341 is 19.

GCF(46322,46341) = 19

We will now calculate the prime factors of 46322 and 46341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46322 and 46341.

How to find the GCF of 46322 and 46341?

We will first find the prime factorization of 46322 and 46341. After we will calculate the factors of 46322 and 46341 and find the biggest common factor number .

Step-1: Prime Factorization of 46322

Prime factors of 46322 are 2, 19, 23, 53. Prime factorization of 46322 in exponential form is:

46322 = 2¹ × 19¹ × 23¹ × 53¹

Step-2: 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-3: Factors of 46322

List of positive integer factors of 46322 that divides 46322 without a remainder.

1, 2, 19, 23, 38, 46, 53, 106, 437, 874, 1007, 1219, 2014, 2438, 23161

Step-4: Factors of 46341

List of positive integer factors of 46341 that divides 46322 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46322 and 46341. The biggest common factor number is the GCF number.
So the greatest common factor 46322 and 46341 is 19.

Also check out the Least Common Multiple of 46322 and 46341