What is the Greatest Common Factor of 81424 and 81428?

Greatest common factor (GCF) of 81424 and 81428 is 4.

GCF(81424,81428) = 4

We will now calculate the prime factors of 81424 and 81428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81424 and 81428.

How to find the GCF of 81424 and 81428?

We will first find the prime factorization of 81424 and 81428. After we will calculate the factors of 81424 and 81428 and find the biggest common factor number .

Step-1: Prime Factorization of 81424

Prime factors of 81424 are 2, 7, 727. Prime factorization of 81424 in exponential form is:

81424 = 2⁴ × 7¹ × 727¹

Step-2: Prime Factorization of 81428

Prime factors of 81428 are 2, 20357. Prime factorization of 81428 in exponential form is:

81428 = 2² × 20357¹

Step-3: Factors of 81424

List of positive integer factors of 81424 that divides 81424 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 727, 1454, 2908, 5089, 5816, 10178, 11632, 20356, 40712

Step-4: Factors of 81428

List of positive integer factors of 81428 that divides 81424 without a remainder.

1, 2, 4, 20357, 40714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81424 and 81428. The biggest common factor number is the GCF number.
So the greatest common factor 81424 and 81428 is 4.

Also check out the Least Common Multiple of 81424 and 81428