What is the Greatest Common Factor of 81380 and 81390?

Greatest common factor (GCF) of 81380 and 81390 is 10.

GCF(81380,81390) = 10

We will now calculate the prime factors of 81380 and 81390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81380 and 81390.

How to find the GCF of 81380 and 81390?

We will first find the prime factorization of 81380 and 81390. After we will calculate the factors of 81380 and 81390 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 81390

Prime factors of 81390 are 2, 3, 5, 2713. Prime factorization of 81390 in exponential form is:

81390 = 2¹ × 3¹ × 5¹ × 2713¹

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 81390

List of positive integer factors of 81390 that divides 81380 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2713, 5426, 8139, 13565, 16278, 27130, 40695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81380 and 81390. The biggest common factor number is the GCF number.
So the greatest common factor 81380 and 81390 is 10.

Also check out the Least Common Multiple of 81380 and 81390