What is the Greatest Common Factor of 27514 and 27524?

Greatest common factor (GCF) of 27514 and 27524 is 2.

GCF(27514,27524) = 2

We will now calculate the prime factors of 27514 and 27524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27514 and 27524.

How to find the GCF of 27514 and 27524?

We will first find the prime factorization of 27514 and 27524. After we will calculate the factors of 27514 and 27524 and find the biggest common factor number .

Step-1: Prime Factorization of 27514

Prime factors of 27514 are 2, 13757. Prime factorization of 27514 in exponential form is:

27514 = 2¹ × 13757¹

Step-2: 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-3: Factors of 27514

List of positive integer factors of 27514 that divides 27514 without a remainder.

1, 2, 13757

Step-4: Factors of 27524

List of positive integer factors of 27524 that divides 27514 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27514 and 27524. The biggest common factor number is the GCF number.
So the greatest common factor 27514 and 27524 is 2.

Also check out the Least Common Multiple of 27514 and 27524