What is the Greatest Common Factor of 36552 and 36563?

Greatest common factor (GCF) of 36552 and 36563 is 1.

GCF(36552,36563) = 1

We will now calculate the prime factors of 36552 and 36563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36552 and 36563.

How to find the GCF of 36552 and 36563?

We will first find the prime factorization of 36552 and 36563. After we will calculate the factors of 36552 and 36563 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 36563

Prime factors of 36563 are 36563. Prime factorization of 36563 in exponential form is:

36563 = 36563¹

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 36563

List of positive integer factors of 36563 that divides 36552 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36552 and 36563. The biggest common factor number is the GCF number.
So the greatest common factor 36552 and 36563 is 1.

Also check out the Least Common Multiple of 36552 and 36563