What is the Greatest Common Factor of 32552 and 32566?

Greatest common factor (GCF) of 32552 and 32566 is 2.

GCF(32552,32566) = 2

We will now calculate the prime factors of 32552 and 32566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32552 and 32566.

How to find the GCF of 32552 and 32566?

We will first find the prime factorization of 32552 and 32566. After we will calculate the factors of 32552 and 32566 and find the biggest common factor number .

Step-1: Prime Factorization of 32552

Prime factors of 32552 are 2, 13, 313. Prime factorization of 32552 in exponential form is:

32552 = 2³ × 13¹ × 313¹

Step-2: Prime Factorization of 32566

Prime factors of 32566 are 2, 19, 857. Prime factorization of 32566 in exponential form is:

32566 = 2¹ × 19¹ × 857¹

Step-3: Factors of 32552

List of positive integer factors of 32552 that divides 32552 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 313, 626, 1252, 2504, 4069, 8138, 16276

Step-4: Factors of 32566

List of positive integer factors of 32566 that divides 32552 without a remainder.

1, 2, 19, 38, 857, 1714, 16283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32552 and 32566. The biggest common factor number is the GCF number.
So the greatest common factor 32552 and 32566 is 2.

Also check out the Least Common Multiple of 32552 and 32566