What is the Greatest Common Factor of 36742 and 36752?

Greatest common factor (GCF) of 36742 and 36752 is 2.

GCF(36742,36752) = 2

We will now calculate the prime factors of 36742 and 36752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36742 and 36752.

How to find the GCF of 36742 and 36752?

We will first find the prime factorization of 36742 and 36752. After we will calculate the factors of 36742 and 36752 and find the biggest common factor number .

Step-1: Prime Factorization of 36742

Prime factors of 36742 are 2, 18371. Prime factorization of 36742 in exponential form is:

36742 = 2¹ × 18371¹

Step-2: Prime Factorization of 36752

Prime factors of 36752 are 2, 2297. Prime factorization of 36752 in exponential form is:

36752 = 2⁴ × 2297¹

Step-3: Factors of 36742

List of positive integer factors of 36742 that divides 36742 without a remainder.

1, 2, 18371

Step-4: Factors of 36752

List of positive integer factors of 36752 that divides 36742 without a remainder.

1, 2, 4, 8, 16, 2297, 4594, 9188, 18376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36742 and 36752. The biggest common factor number is the GCF number.
So the greatest common factor 36742 and 36752 is 2.

Also check out the Least Common Multiple of 36742 and 36752