What is the Greatest Common Factor of 27524 and 27544?

Greatest common factor (GCF) of 27524 and 27544 is 4.

GCF(27524,27544) = 4

We will now calculate the prime factors of 27524 and 27544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27524 and 27544.

How to find the GCF of 27524 and 27544?

We will first find the prime factorization of 27524 and 27544. After we will calculate the factors of 27524 and 27544 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 27544

Prime factors of 27544 are 2, 11, 313. Prime factorization of 27544 in exponential form is:

27544 = 2³ × 11¹ × 313¹

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 27544

List of positive integer factors of 27544 that divides 27524 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 313, 626, 1252, 2504, 3443, 6886, 13772

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27524 and 27544. The biggest common factor number is the GCF number.
So the greatest common factor 27524 and 27544 is 4.

Also check out the Least Common Multiple of 27524 and 27544