What is the Greatest Common Factor of 27524 and 27536?

Greatest common factor (GCF) of 27524 and 27536 is 4.

GCF(27524,27536) = 4

We will now calculate the prime factors of 27524 and 27536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27524 and 27536.

How to find the GCF of 27524 and 27536?

We will first find the prime factorization of 27524 and 27536. After we will calculate the factors of 27524 and 27536 and find the biggest common factor number .

Step-1: Prime Factorization of 27524

Prime factors of 27524 are 2, 7, 983. Prime factorization of 27524 in exponential form is:

27524 = 2² × 7¹ × 983¹

Step-2: Prime Factorization of 27536

Prime factors of 27536 are 2, 1721. Prime factorization of 27536 in exponential form is:

27536 = 2⁴ × 1721¹

Step-3: Factors of 27524

List of positive integer factors of 27524 that divides 27524 without a remainder.

1, 2, 4, 7, 14, 28, 983, 1966, 3932, 6881, 13762

Step-4: Factors of 27536

List of positive integer factors of 27536 that divides 27524 without a remainder.

1, 2, 4, 8, 16, 1721, 3442, 6884, 13768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27524 and 27536. The biggest common factor number is the GCF number.
So the greatest common factor 27524 and 27536 is 4.

Also check out the Least Common Multiple of 27524 and 27536