What is the Greatest Common Factor of 81372 and 81387?

Greatest common factor (GCF) of 81372 and 81387 is 3.

GCF(81372,81387) = 3

We will now calculate the prime factors of 81372 and 81387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81372 and 81387.

How to find the GCF of 81372 and 81387?

We will first find the prime factorization of 81372 and 81387. After we will calculate the factors of 81372 and 81387 and find the biggest common factor number .

Step-1: Prime Factorization of 81372

Prime factors of 81372 are 2, 3, 6781. Prime factorization of 81372 in exponential form is:

81372 = 2² × 3¹ × 6781¹

Step-2: Prime Factorization of 81387

Prime factors of 81387 are 3, 9043. Prime factorization of 81387 in exponential form is:

81387 = 3² × 9043¹

Step-3: Factors of 81372

List of positive integer factors of 81372 that divides 81372 without a remainder.

1, 2, 3, 4, 6, 12, 6781, 13562, 20343, 27124, 40686

Step-4: Factors of 81387

List of positive integer factors of 81387 that divides 81372 without a remainder.

1, 3, 9, 9043, 27129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81372 and 81387. The biggest common factor number is the GCF number.
So the greatest common factor 81372 and 81387 is 3.

Also check out the Least Common Multiple of 81372 and 81387