What is the Greatest Common Factor of 11139 and 11148?

Greatest common factor (GCF) of 11139 and 11148 is 3.

GCF(11139,11148) = 3

We will now calculate the prime factors of 11139 and 11148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11139 and 11148.

How to find the GCF of 11139 and 11148?

We will first find the prime factorization of 11139 and 11148. After we will calculate the factors of 11139 and 11148 and find the biggest common factor number .

Step-1: Prime Factorization of 11139

Prime factors of 11139 are 3, 47, 79. Prime factorization of 11139 in exponential form is:

11139 = 3¹ × 47¹ × 79¹

Step-2: Prime Factorization of 11148

Prime factors of 11148 are 2, 3, 929. Prime factorization of 11148 in exponential form is:

11148 = 2² × 3¹ × 929¹

Step-3: Factors of 11139

List of positive integer factors of 11139 that divides 11139 without a remainder.

1, 3, 47, 79, 141, 237, 3713

Step-4: Factors of 11148

List of positive integer factors of 11148 that divides 11139 without a remainder.

1, 2, 3, 4, 6, 12, 929, 1858, 2787, 3716, 5574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11139 and 11148. The biggest common factor number is the GCF number.
So the greatest common factor 11139 and 11148 is 3.

Also check out the Least Common Multiple of 11139 and 11148