What is the Greatest Common Factor of 81380 and 81388?

Greatest common factor (GCF) of 81380 and 81388 is 4.

GCF(81380,81388) = 4

We will now calculate the prime factors of 81380 and 81388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81380 and 81388.

How to find the GCF of 81380 and 81388?

We will first find the prime factorization of 81380 and 81388. After we will calculate the factors of 81380 and 81388 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 81388

Prime factors of 81388 are 2, 20347. Prime factorization of 81388 in exponential form is:

81388 = 2² × 20347¹

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 81388

List of positive integer factors of 81388 that divides 81380 without a remainder.

1, 2, 4, 20347, 40694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81380 and 81388. The biggest common factor number is the GCF number.
So the greatest common factor 81380 and 81388 is 4.

Also check out the Least Common Multiple of 81380 and 81388