What is the Greatest Common Factor of 11076 and 11081?

Greatest common factor (GCF) of 11076 and 11081 is 1.

GCF(11076,11081) = 1

We will now calculate the prime factors of 11076 and 11081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11076 and 11081.

How to find the GCF of 11076 and 11081?

We will first find the prime factorization of 11076 and 11081. After we will calculate the factors of 11076 and 11081 and find the biggest common factor number .

Step-1: Prime Factorization of 11076

Prime factors of 11076 are 2, 3, 13, 71. Prime factorization of 11076 in exponential form is:

11076 = 2² × 3¹ × 13¹ × 71¹

Step-2: Prime Factorization of 11081

Prime factors of 11081 are 7, 1583. Prime factorization of 11081 in exponential form is:

11081 = 7¹ × 1583¹

Step-3: Factors of 11076

List of positive integer factors of 11076 that divides 11076 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 71, 78, 142, 156, 213, 284, 426, 852, 923, 1846, 2769, 3692, 5538

Step-4: Factors of 11081

List of positive integer factors of 11081 that divides 11076 without a remainder.

1, 7, 1583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11076 and 11081. The biggest common factor number is the GCF number.
So the greatest common factor 11076 and 11081 is 1.

Also check out the Least Common Multiple of 11076 and 11081