What is the Greatest Common Factor of 36528 and 36542?

Greatest common factor (GCF) of 36528 and 36542 is 2.

GCF(36528,36542) = 2

We will now calculate the prime factors of 36528 and 36542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36528 and 36542.

How to find the GCF of 36528 and 36542?

We will first find the prime factorization of 36528 and 36542. After we will calculate the factors of 36528 and 36542 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 36542

Prime factors of 36542 are 2, 11, 151. Prime factorization of 36542 in exponential form is:

36542 = 2¹ × 11² × 151¹

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 36542

List of positive integer factors of 36542 that divides 36528 without a remainder.

1, 2, 11, 22, 121, 151, 242, 302, 1661, 3322, 18271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36528 and 36542. The biggest common factor number is the GCF number.
So the greatest common factor 36528 and 36542 is 2.

Also check out the Least Common Multiple of 36528 and 36542