What is the Greatest Common Factor of 13524 and 13538?

Greatest common factor (GCF) of 13524 and 13538 is 14.

GCF(13524,13538) = 14

We will now calculate the prime factors of 13524 and 13538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13524 and 13538.

How to find the GCF of 13524 and 13538?

We will first find the prime factorization of 13524 and 13538. After we will calculate the factors of 13524 and 13538 and find the biggest common factor number .

Step-1: Prime Factorization of 13524

Prime factors of 13524 are 2, 3, 7, 23. Prime factorization of 13524 in exponential form is:

13524 = 2² × 3¹ × 7² × 23¹

Step-2: Prime Factorization of 13538

Prime factors of 13538 are 2, 7, 967. Prime factorization of 13538 in exponential form is:

13538 = 2¹ × 7¹ × 967¹

Step-3: Factors of 13524

List of positive integer factors of 13524 that divides 13524 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 49, 69, 84, 92, 98, 138, 147, 161, 196, 276, 294, 322, 483, 588, 644, 966, 1127, 1932, 2254, 3381, 4508, 6762

Step-4: Factors of 13538

List of positive integer factors of 13538 that divides 13524 without a remainder.

1, 2, 7, 14, 967, 1934, 6769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13524 and 13538. The biggest common factor number is the GCF number.
So the greatest common factor 13524 and 13538 is 14.

Also check out the Least Common Multiple of 13524 and 13538