What is the Greatest Common Factor of 32554 and 32574?

Greatest common factor (GCF) of 32554 and 32574 is 2.

GCF(32554,32574) = 2

We will now calculate the prime factors of 32554 and 32574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32554 and 32574.

How to find the GCF of 32554 and 32574?

We will first find the prime factorization of 32554 and 32574. After we will calculate the factors of 32554 and 32574 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32574

Prime factors of 32574 are 2, 3, 61, 89. Prime factorization of 32574 in exponential form is:

32574 = 2¹ × 3¹ × 61¹ × 89¹

Step-3: Factors of 32554

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

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

Step-4: Factors of 32574

List of positive integer factors of 32574 that divides 32554 without a remainder.

1, 2, 3, 6, 61, 89, 122, 178, 183, 267, 366, 534, 5429, 10858, 16287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32554 and 32574. The biggest common factor number is the GCF number.
So the greatest common factor 32554 and 32574 is 2.

Also check out the Least Common Multiple of 32554 and 32574