What is the Greatest Common Factor of 36524 and 36542?

Greatest common factor (GCF) of 36524 and 36542 is 2.

GCF(36524,36542) = 2

We will now calculate the prime factors of 36524 and 36542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36524 and 36542.

How to find the GCF of 36524 and 36542?

We will first find the prime factorization of 36524 and 36542. After we will calculate the factors of 36524 and 36542 and find the biggest common factor number .

Step-1: Prime Factorization of 36524

Prime factors of 36524 are 2, 23, 397. Prime factorization of 36524 in exponential form is:

36524 = 2² × 23¹ × 397¹

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 36524

List of positive integer factors of 36524 that divides 36524 without a remainder.

1, 2, 4, 23, 46, 92, 397, 794, 1588, 9131, 18262

Step-4: Factors of 36542

List of positive integer factors of 36542 that divides 36524 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 36524 and 36542. The biggest common factor number is the GCF number.
So the greatest common factor 36524 and 36542 is 2.

Also check out the Least Common Multiple of 36524 and 36542