What is the Greatest Common Factor of 32516 and 32522?

Greatest common factor (GCF) of 32516 and 32522 is 2.

GCF(32516,32522) = 2

We will now calculate the prime factors of 32516 and 32522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32516 and 32522.

How to find the GCF of 32516 and 32522?

We will first find the prime factorization of 32516 and 32522. After we will calculate the factors of 32516 and 32522 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 32522

Prime factors of 32522 are 2, 7, 23, 101. Prime factorization of 32522 in exponential form is:

32522 = 2¹ × 7¹ × 23¹ × 101¹

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 32522

List of positive integer factors of 32522 that divides 32516 without a remainder.

1, 2, 7, 14, 23, 46, 101, 161, 202, 322, 707, 1414, 2323, 4646, 16261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32516 and 32522. The biggest common factor number is the GCF number.
So the greatest common factor 32516 and 32522 is 2.

Also check out the Least Common Multiple of 32516 and 32522