What is the Greatest Common Factor of 81462 and 81477?

Greatest common factor (GCF) of 81462 and 81477 is 3.

GCF(81462,81477) = 3

We will now calculate the prime factors of 81462 and 81477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81462 and 81477.

How to find the GCF of 81462 and 81477?

We will first find the prime factorization of 81462 and 81477. After we will calculate the factors of 81462 and 81477 and find the biggest common factor number .

Step-1: Prime Factorization of 81462

Prime factors of 81462 are 2, 3, 13577. Prime factorization of 81462 in exponential form is:

81462 = 2¹ × 3¹ × 13577¹

Step-2: Prime Factorization of 81477

Prime factors of 81477 are 3, 11, 823. Prime factorization of 81477 in exponential form is:

81477 = 3² × 11¹ × 823¹

Step-3: Factors of 81462

List of positive integer factors of 81462 that divides 81462 without a remainder.

1, 2, 3, 6, 13577, 27154, 40731

Step-4: Factors of 81477

List of positive integer factors of 81477 that divides 81462 without a remainder.

1, 3, 9, 11, 33, 99, 823, 2469, 7407, 9053, 27159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81462 and 81477. The biggest common factor number is the GCF number.
So the greatest common factor 81462 and 81477 is 3.

Also check out the Least Common Multiple of 81462 and 81477