What is the Greatest Common Factor of 27538 and 27545?

Greatest common factor (GCF) of 27538 and 27545 is 7.

GCF(27538,27545) = 7

We will now calculate the prime factors of 27538 and 27545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27538 and 27545.

How to find the GCF of 27538 and 27545?

We will first find the prime factorization of 27538 and 27545. After we will calculate the factors of 27538 and 27545 and find the biggest common factor number .

Step-1: Prime Factorization of 27538

Prime factors of 27538 are 2, 7, 281. Prime factorization of 27538 in exponential form is:

27538 = 2¹ × 7² × 281¹

Step-2: Prime Factorization of 27545

Prime factors of 27545 are 5, 7, 787. Prime factorization of 27545 in exponential form is:

27545 = 5¹ × 7¹ × 787¹

Step-3: Factors of 27538

List of positive integer factors of 27538 that divides 27538 without a remainder.

1, 2, 7, 14, 49, 98, 281, 562, 1967, 3934, 13769

Step-4: Factors of 27545

List of positive integer factors of 27545 that divides 27538 without a remainder.

1, 5, 7, 35, 787, 3935, 5509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27538 and 27545. The biggest common factor number is the GCF number.
So the greatest common factor 27538 and 27545 is 7.

Also check out the Least Common Multiple of 27538 and 27545