What is the Greatest Common Factor of 27514 and 27534?

Greatest common factor (GCF) of 27514 and 27534 is 2.

GCF(27514,27534) = 2

We will now calculate the prime factors of 27514 and 27534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27514 and 27534.

How to find the GCF of 27514 and 27534?

We will first find the prime factorization of 27514 and 27534. After we will calculate the factors of 27514 and 27534 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 27534

Prime factors of 27534 are 2, 3, 13, 353. Prime factorization of 27534 in exponential form is:

27534 = 2¹ × 3¹ × 13¹ × 353¹

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 27534

List of positive integer factors of 27534 that divides 27514 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 353, 706, 1059, 2118, 4589, 9178, 13767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27514 and 27534. The biggest common factor number is the GCF number.
So the greatest common factor 27514 and 27534 is 2.

Also check out the Least Common Multiple of 27514 and 27534