What is the Greatest Common Factor of 32516 and 32536?

Greatest common factor (GCF) of 32516 and 32536 is 4.

GCF(32516,32536) = 4

We will now calculate the prime factors of 32516 and 32536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32516 and 32536.

How to find the GCF of 32516 and 32536?

We will first find the prime factorization of 32516 and 32536. After we will calculate the factors of 32516 and 32536 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 32536

Prime factors of 32536 are 2, 7, 83. Prime factorization of 32536 in exponential form is:

32536 = 2³ × 7² × 83¹

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 32536

List of positive integer factors of 32536 that divides 32516 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 83, 98, 166, 196, 332, 392, 581, 664, 1162, 2324, 4067, 4648, 8134, 16268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32516 and 32536. The biggest common factor number is the GCF number.
So the greatest common factor 32516 and 32536 is 4.

Also check out the Least Common Multiple of 32516 and 32536