What is the Greatest Common Factor of 11508 and 11522?

Greatest common factor (GCF) of 11508 and 11522 is 14.

GCF(11508,11522) = 14

We will now calculate the prime factors of 11508 and 11522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11508 and 11522.

How to find the GCF of 11508 and 11522?

We will first find the prime factorization of 11508 and 11522. After we will calculate the factors of 11508 and 11522 and find the biggest common factor number .

Step-1: Prime Factorization of 11508

Prime factors of 11508 are 2, 3, 7, 137. Prime factorization of 11508 in exponential form is:

11508 = 2² × 3¹ × 7¹ × 137¹

Step-2: Prime Factorization of 11522

Prime factors of 11522 are 2, 7, 823. Prime factorization of 11522 in exponential form is:

11522 = 2¹ × 7¹ × 823¹

Step-3: Factors of 11508

List of positive integer factors of 11508 that divides 11508 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 137, 274, 411, 548, 822, 959, 1644, 1918, 2877, 3836, 5754

Step-4: Factors of 11522

List of positive integer factors of 11522 that divides 11508 without a remainder.

1, 2, 7, 14, 823, 1646, 5761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11508 and 11522. The biggest common factor number is the GCF number.
So the greatest common factor 11508 and 11522 is 14.

Also check out the Least Common Multiple of 11508 and 11522