What is the Greatest Common Factor of 36528 and 36545?

Greatest common factor (GCF) of 36528 and 36545 is 1.

GCF(36528,36545) = 1

We will now calculate the prime factors of 36528 and 36545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36528 and 36545.

How to find the GCF of 36528 and 36545?

We will first find the prime factorization of 36528 and 36545. After we will calculate the factors of 36528 and 36545 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 36545

Prime factors of 36545 are 5, 7309. Prime factorization of 36545 in exponential form is:

36545 = 5¹ × 7309¹

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 36545

List of positive integer factors of 36545 that divides 36528 without a remainder.

1, 5, 7309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36528 and 36545. The biggest common factor number is the GCF number.
So the greatest common factor 36528 and 36545 is 1.

Also check out the Least Common Multiple of 36528 and 36545