What is the Greatest Common Factor of 4081 and 4092?

Greatest common factor (GCF) of 4081 and 4092 is 11.

GCF(4081,4092) = 11

We will now calculate the prime factors of 4081 and 4092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4081 and 4092.

How to find the GCF of 4081 and 4092?

We will first find the prime factorization of 4081 and 4092. After we will calculate the factors of 4081 and 4092 and find the biggest common factor number .

Step-1: Prime Factorization of 4081

Prime factors of 4081 are 7, 11, 53. Prime factorization of 4081 in exponential form is:

4081 = 7¹ × 11¹ × 53¹

Step-2: Prime Factorization of 4092

Prime factors of 4092 are 2, 3, 11, 31. Prime factorization of 4092 in exponential form is:

4092 = 2² × 3¹ × 11¹ × 31¹

Step-3: Factors of 4081

List of positive integer factors of 4081 that divides 4081 without a remainder.

1, 7, 11, 53, 77, 371, 583

Step-4: Factors of 4092

List of positive integer factors of 4092 that divides 4081 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4081 and 4092. The biggest common factor number is the GCF number.
So the greatest common factor 4081 and 4092 is 11.

Also check out the Least Common Multiple of 4081 and 4092