What is the Greatest Common Factor of 81424 and 81431?

Greatest common factor (GCF) of 81424 and 81431 is 7.

GCF(81424,81431) = 7

We will now calculate the prime factors of 81424 and 81431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81424 and 81431.

How to find the GCF of 81424 and 81431?

We will first find the prime factorization of 81424 and 81431. After we will calculate the factors of 81424 and 81431 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 81431

Prime factors of 81431 are 7, 11633. Prime factorization of 81431 in exponential form is:

81431 = 7¹ × 11633¹

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 81431

List of positive integer factors of 81431 that divides 81424 without a remainder.

1, 7, 11633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81424 and 81431. The biggest common factor number is the GCF number.
So the greatest common factor 81424 and 81431 is 7.

Also check out the Least Common Multiple of 81424 and 81431