What is the Greatest Common Factor of 60363 and 60382?

Greatest common factor (GCF) of 60363 and 60382 is 19.

GCF(60363,60382) = 19

We will now calculate the prime factors of 60363 and 60382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60363 and 60382.

How to find the GCF of 60363 and 60382?

We will first find the prime factorization of 60363 and 60382. After we will calculate the factors of 60363 and 60382 and find the biggest common factor number .

Step-1: Prime Factorization of 60363

Prime factors of 60363 are 3, 19, 353. Prime factorization of 60363 in exponential form is:

60363 = 3² × 19¹ × 353¹

Step-2: Prime Factorization of 60382

Prime factors of 60382 are 2, 7, 19, 227. Prime factorization of 60382 in exponential form is:

60382 = 2¹ × 7¹ × 19¹ × 227¹

Step-3: Factors of 60363

List of positive integer factors of 60363 that divides 60363 without a remainder.

1, 3, 9, 19, 57, 171, 353, 1059, 3177, 6707, 20121

Step-4: Factors of 60382

List of positive integer factors of 60382 that divides 60363 without a remainder.

1, 2, 7, 14, 19, 38, 133, 227, 266, 454, 1589, 3178, 4313, 8626, 30191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60363 and 60382. The biggest common factor number is the GCF number.
So the greatest common factor 60363 and 60382 is 19.

Also check out the Least Common Multiple of 60363 and 60382