What is the Greatest Common Factor of 36542 and 36556?

Greatest common factor (GCF) of 36542 and 36556 is 2.

GCF(36542,36556) = 2

We will now calculate the prime factors of 36542 and 36556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36542 and 36556.

How to find the GCF of 36542 and 36556?

We will first find the prime factorization of 36542 and 36556. After we will calculate the factors of 36542 and 36556 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36556

Prime factors of 36556 are 2, 13, 19, 37. Prime factorization of 36556 in exponential form is:

36556 = 2² × 13¹ × 19¹ × 37¹

Step-3: Factors of 36542

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

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

Step-4: Factors of 36556

List of positive integer factors of 36556 that divides 36542 without a remainder.

1, 2, 4, 13, 19, 26, 37, 38, 52, 74, 76, 148, 247, 481, 494, 703, 962, 988, 1406, 1924, 2812, 9139, 18278

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36542 and 36556. The biggest common factor number is the GCF number.
So the greatest common factor 36542 and 36556 is 2.

Also check out the Least Common Multiple of 36542 and 36556