What is the Greatest Common Factor of 81368 and 81372?

Greatest common factor (GCF) of 81368 and 81372 is 4.

GCF(81368,81372) = 4

We will now calculate the prime factors of 81368 and 81372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81368 and 81372.

How to find the GCF of 81368 and 81372?

We will first find the prime factorization of 81368 and 81372. After we will calculate the factors of 81368 and 81372 and find the biggest common factor number .

Step-1: Prime Factorization of 81368

Prime factors of 81368 are 2, 7, 1453. Prime factorization of 81368 in exponential form is:

81368 = 2³ × 7¹ × 1453¹

Step-2: 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-3: Factors of 81368

List of positive integer factors of 81368 that divides 81368 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1453, 2906, 5812, 10171, 11624, 20342, 40684

Step-4: Factors of 81372

List of positive integer factors of 81372 that divides 81368 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81368 and 81372. The biggest common factor number is the GCF number.
So the greatest common factor 81368 and 81372 is 4.

Also check out the Least Common Multiple of 81368 and 81372