What is the Greatest Common Factor of 11130 and 11138?

Greatest common factor (GCF) of 11130 and 11138 is 2.

GCF(11130,11138) = 2

We will now calculate the prime factors of 11130 and 11138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11130 and 11138.

How to find the GCF of 11130 and 11138?

We will first find the prime factorization of 11130 and 11138. After we will calculate the factors of 11130 and 11138 and find the biggest common factor number .

Step-1: Prime Factorization of 11130

Prime factors of 11130 are 2, 3, 5, 7, 53. Prime factorization of 11130 in exponential form is:

11130 = 2¹ × 3¹ × 5¹ × 7¹ × 53¹

Step-2: Prime Factorization of 11138

Prime factors of 11138 are 2, 5569. Prime factorization of 11138 in exponential form is:

11138 = 2¹ × 5569¹

Step-3: Factors of 11130

List of positive integer factors of 11130 that divides 11130 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 53, 70, 105, 106, 159, 210, 265, 318, 371, 530, 742, 795, 1113, 1590, 1855, 2226, 3710, 5565

Step-4: Factors of 11138

List of positive integer factors of 11138 that divides 11130 without a remainder.

1, 2, 5569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11130 and 11138. The biggest common factor number is the GCF number.
So the greatest common factor 11130 and 11138 is 2.

Also check out the Least Common Multiple of 11130 and 11138