What is the Greatest Common Factor of 36552 and 36566?

Greatest common factor (GCF) of 36552 and 36566 is 2.

GCF(36552,36566) = 2

We will now calculate the prime factors of 36552 and 36566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36552 and 36566.

How to find the GCF of 36552 and 36566?

We will first find the prime factorization of 36552 and 36566. After we will calculate the factors of 36552 and 36566 and find the biggest common factor number .

Step-1: Prime Factorization of 36552

Prime factors of 36552 are 2, 3, 1523. Prime factorization of 36552 in exponential form is:

36552 = 2³ × 3¹ × 1523¹

Step-2: Prime Factorization of 36566

Prime factors of 36566 are 2, 47, 389. Prime factorization of 36566 in exponential form is:

36566 = 2¹ × 47¹ × 389¹

Step-3: Factors of 36552

List of positive integer factors of 36552 that divides 36552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1523, 3046, 4569, 6092, 9138, 12184, 18276

Step-4: Factors of 36566

List of positive integer factors of 36566 that divides 36552 without a remainder.

1, 2, 47, 94, 389, 778, 18283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36552 and 36566. The biggest common factor number is the GCF number.
So the greatest common factor 36552 and 36566 is 2.

Also check out the Least Common Multiple of 36552 and 36566