What is the Greatest Common Factor of 32508 and 32516?

Greatest common factor (GCF) of 32508 and 32516 is 4.

GCF(32508,32516) = 4

We will now calculate the prime factors of 32508 and 32516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32508 and 32516.

How to find the GCF of 32508 and 32516?

We will first find the prime factorization of 32508 and 32516. After we will calculate the factors of 32508 and 32516 and find the biggest common factor number .

Step-1: Prime Factorization of 32508

Prime factors of 32508 are 2, 3, 7, 43. Prime factorization of 32508 in exponential form is:

32508 = 2² × 3³ × 7¹ × 43¹

Step-2: 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-3: Factors of 32508

List of positive integer factors of 32508 that divides 32508 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 43, 54, 63, 84, 86, 108, 126, 129, 172, 189, 252, 258, 301, 378, 387, 516, 602, 756, 774, 903, 1161, 1204, 1548, 1806, 2322, 2709, 3612, 4644, 5418, 8127, 10836, 16254

Step-4: Factors of 32516

List of positive integer factors of 32516 that divides 32508 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32508 and 32516. The biggest common factor number is the GCF number.
So the greatest common factor 32508 and 32516 is 4.

Also check out the Least Common Multiple of 32508 and 32516