What is the Greatest Common Factor of 81367 and 81380?

Greatest common factor (GCF) of 81367 and 81380 is 13.

GCF(81367,81380) = 13

We will now calculate the prime factors of 81367 and 81380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81367 and 81380.

How to find the GCF of 81367 and 81380?

We will first find the prime factorization of 81367 and 81380. After we will calculate the factors of 81367 and 81380 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 81380

Prime factors of 81380 are 2, 5, 13, 313. Prime factorization of 81380 in exponential form is:

81380 = 2² × 5¹ × 13¹ × 313¹

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 81380

List of positive integer factors of 81380 that divides 81367 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 313, 626, 1252, 1565, 3130, 4069, 6260, 8138, 16276, 20345, 40690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81367 and 81380. The biggest common factor number is the GCF number.
So the greatest common factor 81367 and 81380 is 13.

Also check out the Least Common Multiple of 81367 and 81380