What is the Greatest Common Factor of 36528 and 36534?

Greatest common factor (GCF) of 36528 and 36534 is 6.

GCF(36528,36534) = 6

We will now calculate the prime factors of 36528 and 36534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36528 and 36534.

How to find the GCF of 36528 and 36534?

We will first find the prime factorization of 36528 and 36534. After we will calculate the factors of 36528 and 36534 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 36534

Prime factors of 36534 are 2, 3, 6089. Prime factorization of 36534 in exponential form is:

36534 = 2¹ × 3¹ × 6089¹

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 36534

List of positive integer factors of 36534 that divides 36528 without a remainder.

1, 2, 3, 6, 6089, 12178, 18267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36528 and 36534. The biggest common factor number is the GCF number.
So the greatest common factor 36528 and 36534 is 6.

Also check out the Least Common Multiple of 36528 and 36534