What is the Greatest Common Factor of 32516 and 32528?

Greatest common factor (GCF) of 32516 and 32528 is 4.

GCF(32516,32528) = 4

We will now calculate the prime factors of 32516 and 32528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32516 and 32528.

How to find the GCF of 32516 and 32528?

We will first find the prime factorization of 32516 and 32528. After we will calculate the factors of 32516 and 32528 and find the biggest common factor number .

Step-1: Prime Factorization of 32516

Prime factors of 32516 are 2, 11, 739. Prime factorization of 32516 in exponential form is:

32516 = 2² × 11¹ × 739¹

Step-2: 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-3: Factors of 32516

List of positive integer factors of 32516 that divides 32516 without a remainder.

1, 2, 4, 11, 22, 44, 739, 1478, 2956, 8129, 16258

Step-4: Factors of 32528

List of positive integer factors of 32528 that divides 32516 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32516 and 32528. The biggest common factor number is the GCF number.
So the greatest common factor 32516 and 32528 is 4.

Also check out the Least Common Multiple of 32516 and 32528