What is the Greatest Common Factor of 32536 and 32552?

Greatest common factor (GCF) of 32536 and 32552 is 8.

GCF(32536,32552) = 8

We will now calculate the prime factors of 32536 and 32552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32536 and 32552.

How to find the GCF of 32536 and 32552?

We will first find the prime factorization of 32536 and 32552. After we will calculate the factors of 32536 and 32552 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 32552

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

32552 = 2³ × 13¹ × 313¹

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 32552

List of positive integer factors of 32552 that divides 32536 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32536 and 32552. The biggest common factor number is the GCF number.
So the greatest common factor 32536 and 32552 is 8.

Also check out the Least Common Multiple of 32536 and 32552