What is the Greatest Common Factor of 36528 and 36533?

Greatest common factor (GCF) of 36528 and 36533 is 1.

GCF(36528,36533) = 1

We will now calculate the prime factors of 36528 and 36533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36528 and 36533.

How to find the GCF of 36528 and 36533?

We will first find the prime factorization of 36528 and 36533. After we will calculate the factors of 36528 and 36533 and find the biggest common factor number .

Step-1: Prime Factorization of 36528

Prime factors of 36528 are 2, 3, 761. Prime factorization of 36528 in exponential form is:

36528 = 2⁴ × 3¹ × 761¹

Step-2: Prime Factorization of 36533

Prime factors of 36533 are 7, 17, 307. Prime factorization of 36533 in exponential form is:

36533 = 7¹ × 17¹ × 307¹

Step-3: Factors of 36528

List of positive integer factors of 36528 that divides 36528 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 761, 1522, 2283, 3044, 4566, 6088, 9132, 12176, 18264

Step-4: Factors of 36533

List of positive integer factors of 36533 that divides 36528 without a remainder.

1, 7, 17, 119, 307, 2149, 5219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36528 and 36533. The biggest common factor number is the GCF number.
So the greatest common factor 36528 and 36533 is 1.

Also check out the Least Common Multiple of 36528 and 36533