What is the Greatest Common Factor of 81367 and 81378?

Greatest common factor (GCF) of 81367 and 81378 is 11.

GCF(81367,81378) = 11

We will now calculate the prime factors of 81367 and 81378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81367 and 81378.

How to find the GCF of 81367 and 81378?

We will first find the prime factorization of 81367 and 81378. After we will calculate the factors of 81367 and 81378 and find the biggest common factor number .

Step-1: Prime Factorization of 81367

Prime factors of 81367 are 11, 13, 569. Prime factorization of 81367 in exponential form is:

81367 = 11¹ × 13¹ × 569¹

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 81367

List of positive integer factors of 81367 that divides 81367 without a remainder.

1, 11, 13, 143, 569, 6259, 7397

Step-4: Factors of 81378

List of positive integer factors of 81378 that divides 81367 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 81367 and 81378. The biggest common factor number is the GCF number.
So the greatest common factor 81367 and 81378 is 11.

Also check out the Least Common Multiple of 81367 and 81378