What is the Greatest Common Factor of 13538 and 13545?

Greatest common factor (GCF) of 13538 and 13545 is 7.

GCF(13538,13545) = 7

We will now calculate the prime factors of 13538 and 13545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13538 and 13545.

How to find the GCF of 13538 and 13545?

We will first find the prime factorization of 13538 and 13545. After we will calculate the factors of 13538 and 13545 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 13545

Prime factors of 13545 are 3, 5, 7, 43. Prime factorization of 13545 in exponential form is:

13545 = 3² × 5¹ × 7¹ × 43¹

Step-3: Factors of 13538

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

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

Step-4: Factors of 13545

List of positive integer factors of 13545 that divides 13538 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 43, 45, 63, 105, 129, 215, 301, 315, 387, 645, 903, 1505, 1935, 2709, 4515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13538 and 13545. The biggest common factor number is the GCF number.
So the greatest common factor 13538 and 13545 is 7.

Also check out the Least Common Multiple of 13538 and 13545