What is the Greatest Common Factor of 81474 and 81478?

Greatest common factor (GCF) of 81474 and 81478 is 2.

GCF(81474,81478) = 2

We will now calculate the prime factors of 81474 and 81478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81474 and 81478.

How to find the GCF of 81474 and 81478?

We will first find the prime factorization of 81474 and 81478. After we will calculate the factors of 81474 and 81478 and find the biggest common factor number .

Step-1: Prime Factorization of 81474

Prime factors of 81474 are 2, 3, 37, 367. Prime factorization of 81474 in exponential form is:

81474 = 2¹ × 3¹ × 37¹ × 367¹

Step-2: Prime Factorization of 81478

Prime factors of 81478 are 2, 40739. Prime factorization of 81478 in exponential form is:

81478 = 2¹ × 40739¹

Step-3: Factors of 81474

List of positive integer factors of 81474 that divides 81474 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 367, 734, 1101, 2202, 13579, 27158, 40737

Step-4: Factors of 81478

List of positive integer factors of 81478 that divides 81474 without a remainder.

1, 2, 40739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81474 and 81478. The biggest common factor number is the GCF number.
So the greatest common factor 81474 and 81478 is 2.

Also check out the Least Common Multiple of 81474 and 81478