What is the Greatest Common Factor of 81364 and 81368?

Greatest common factor (GCF) of 81364 and 81368 is 4.

GCF(81364,81368) = 4

We will now calculate the prime factors of 81364 and 81368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81364 and 81368.

How to find the GCF of 81364 and 81368?

We will first find the prime factorization of 81364 and 81368. After we will calculate the factors of 81364 and 81368 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 81368

Prime factors of 81368 are 2, 7, 1453. Prime factorization of 81368 in exponential form is:

81368 = 2³ × 7¹ × 1453¹

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 81368

List of positive integer factors of 81368 that divides 81364 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1453, 2906, 5812, 10171, 11624, 20342, 40684

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81364 and 81368. The biggest common factor number is the GCF number.
So the greatest common factor 81364 and 81368 is 4.

Also check out the Least Common Multiple of 81364 and 81368