What is the Greatest Common Factor of 27514 and 27531?

Greatest common factor (GCF) of 27514 and 27531 is 1.

GCF(27514,27531) = 1

We will now calculate the prime factors of 27514 and 27531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27514 and 27531.

How to find the GCF of 27514 and 27531?

We will first find the prime factorization of 27514 and 27531. After we will calculate the factors of 27514 and 27531 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 27531

Prime factors of 27531 are 3, 7, 19, 23. Prime factorization of 27531 in exponential form is:

27531 = 3² × 7¹ × 19¹ × 23¹

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 27531

List of positive integer factors of 27531 that divides 27514 without a remainder.

1, 3, 7, 9, 19, 21, 23, 57, 63, 69, 133, 161, 171, 207, 399, 437, 483, 1197, 1311, 1449, 3059, 3933, 9177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27514 and 27531. The biggest common factor number is the GCF number.
So the greatest common factor 27514 and 27531 is 1.

Also check out the Least Common Multiple of 27514 and 27531