What is the Greatest Common Factor of 32514 and 32526?

Greatest common factor (GCF) of 32514 and 32526 is 6.

GCF(32514,32526) = 6

We will now calculate the prime factors of 32514 and 32526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32514 and 32526.

How to find the GCF of 32514 and 32526?

We will first find the prime factorization of 32514 and 32526. After we will calculate the factors of 32514 and 32526 and find the biggest common factor number .

Step-1: Prime Factorization of 32514

Prime factors of 32514 are 2, 3, 5419. Prime factorization of 32514 in exponential form is:

32514 = 2¹ × 3¹ × 5419¹

Step-2: Prime Factorization of 32526

Prime factors of 32526 are 2, 3, 13, 139. Prime factorization of 32526 in exponential form is:

32526 = 2¹ × 3² × 13¹ × 139¹

Step-3: Factors of 32514

List of positive integer factors of 32514 that divides 32514 without a remainder.

1, 2, 3, 6, 5419, 10838, 16257

Step-4: Factors of 32526

List of positive integer factors of 32526 that divides 32514 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 139, 234, 278, 417, 834, 1251, 1807, 2502, 3614, 5421, 10842, 16263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32514 and 32526. The biggest common factor number is the GCF number.
So the greatest common factor 32514 and 32526 is 6.

Also check out the Least Common Multiple of 32514 and 32526