What is the Greatest Common Factor of 81474 and 81492?

Greatest common factor (GCF) of 81474 and 81492 is 6.

GCF(81474,81492) = 6

We will now calculate the prime factors of 81474 and 81492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81474 and 81492.

How to find the GCF of 81474 and 81492?

We will first find the prime factorization of 81474 and 81492. After we will calculate the factors of 81474 and 81492 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 81492

Prime factors of 81492 are 2, 3, 6791. Prime factorization of 81492 in exponential form is:

81492 = 2² × 3¹ × 6791¹

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 81492

List of positive integer factors of 81492 that divides 81474 without a remainder.

1, 2, 3, 4, 6, 12, 6791, 13582, 20373, 27164, 40746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81474 and 81492. The biggest common factor number is the GCF number.
So the greatest common factor 81474 and 81492 is 6.

Also check out the Least Common Multiple of 81474 and 81492