What is the Greatest Common Factor of 81363 and 81378?

Greatest common factor (GCF) of 81363 and 81378 is 3.

GCF(81363,81378) = 3

We will now calculate the prime factors of 81363 and 81378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81363 and 81378.

How to find the GCF of 81363 and 81378?

We will first find the prime factorization of 81363 and 81378. After we will calculate the factors of 81363 and 81378 and find the biggest common factor number .

Step-1: Prime Factorization of 81363

Prime factors of 81363 are 3, 37, 733. Prime factorization of 81363 in exponential form is:

81363 = 3¹ × 37¹ × 733¹

Step-2: Prime Factorization of 81378

Prime factors of 81378 are 2, 3, 11, 137. Prime factorization of 81378 in exponential form is:

81378 = 2¹ × 3³ × 11¹ × 137¹

Step-3: Factors of 81363

List of positive integer factors of 81363 that divides 81363 without a remainder.

1, 3, 37, 111, 733, 2199, 27121

Step-4: Factors of 81378

List of positive integer factors of 81378 that divides 81363 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 137, 198, 274, 297, 411, 594, 822, 1233, 1507, 2466, 3014, 3699, 4521, 7398, 9042, 13563, 27126, 40689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81363 and 81378. The biggest common factor number is the GCF number.
So the greatest common factor 81363 and 81378 is 3.

Also check out the Least Common Multiple of 81363 and 81378