What is the Greatest Common Factor of 81380 and 81393?

Greatest common factor (GCF) of 81380 and 81393 is 13.

GCF(81380,81393) = 13

We will now calculate the prime factors of 81380 and 81393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81380 and 81393.

How to find the GCF of 81380 and 81393?

We will first find the prime factorization of 81380 and 81393. After we will calculate the factors of 81380 and 81393 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81393

Prime factors of 81393 are 3, 13, 2087. Prime factorization of 81393 in exponential form is:

81393 = 3¹ × 13¹ × 2087¹

Step-3: Factors of 81380

List of positive integer factors of 81380 that divides 81380 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

Step-4: Factors of 81393

List of positive integer factors of 81393 that divides 81380 without a remainder.

1, 3, 13, 39, 2087, 6261, 27131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81380 and 81393. The biggest common factor number is the GCF number.
So the greatest common factor 81380 and 81393 is 13.

Also check out the Least Common Multiple of 81380 and 81393