What is the Greatest Common Factor of 32528 and 32547?

Greatest common factor (GCF) of 32528 and 32547 is 19.

GCF(32528,32547) = 19

We will now calculate the prime factors of 32528 and 32547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32528 and 32547.

How to find the GCF of 32528 and 32547?

We will first find the prime factorization of 32528 and 32547. After we will calculate the factors of 32528 and 32547 and find the biggest common factor number .

Step-1: Prime Factorization of 32528

Prime factors of 32528 are 2, 19, 107. Prime factorization of 32528 in exponential form is:

32528 = 2⁴ × 19¹ × 107¹

Step-2: Prime Factorization of 32547

Prime factors of 32547 are 3, 19, 571. Prime factorization of 32547 in exponential form is:

32547 = 3¹ × 19¹ × 571¹

Step-3: Factors of 32528

List of positive integer factors of 32528 that divides 32528 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 107, 152, 214, 304, 428, 856, 1712, 2033, 4066, 8132, 16264

Step-4: Factors of 32547

List of positive integer factors of 32547 that divides 32528 without a remainder.

1, 3, 19, 57, 571, 1713, 10849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32528 and 32547. The biggest common factor number is the GCF number.
So the greatest common factor 32528 and 32547 is 19.

Also check out the Least Common Multiple of 32528 and 32547