What is the Greatest Common Factor of 32536 and 32554?

Greatest common factor (GCF) of 32536 and 32554 is 2.

GCF(32536,32554) = 2

We will now calculate the prime factors of 32536 and 32554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32536 and 32554.

How to find the GCF of 32536 and 32554?

We will first find the prime factorization of 32536 and 32554. After we will calculate the factors of 32536 and 32554 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32554

Prime factors of 32554 are 2, 41, 397. Prime factorization of 32554 in exponential form is:

32554 = 2¹ × 41¹ × 397¹

Step-3: Factors of 32536

List of positive integer factors of 32536 that divides 32536 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

Step-4: Factors of 32554

List of positive integer factors of 32554 that divides 32536 without a remainder.

1, 2, 41, 82, 397, 794, 16277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32536 and 32554. The biggest common factor number is the GCF number.
So the greatest common factor 32536 and 32554 is 2.

Also check out the Least Common Multiple of 32536 and 32554