What is the Greatest Common Factor of 81364 and 81380?

Greatest common factor (GCF) of 81364 and 81380 is 4.

GCF(81364,81380) = 4

We will now calculate the prime factors of 81364 and 81380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81364 and 81380.

How to find the GCF of 81364 and 81380?

We will first find the prime factorization of 81364 and 81380. After we will calculate the factors of 81364 and 81380 and find the biggest common factor number .

Step-1: Prime Factorization of 81364

Prime factors of 81364 are 2, 20341. Prime factorization of 81364 in exponential form is:

81364 = 2² × 20341¹

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 81364

List of positive integer factors of 81364 that divides 81364 without a remainder.

1, 2, 4, 20341, 40682

Step-4: Factors of 81380

List of positive integer factors of 81380 that divides 81364 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 81364 and 81380. The biggest common factor number is the GCF number.
So the greatest common factor 81364 and 81380 is 4.

Also check out the Least Common Multiple of 81364 and 81380