GCF and LCM Calculator Logo

What is the Greatest Common Factor of 36781 and 36788?

Greatest common factor (GCF) of 36781 and 36788 is 1.

GCF(36781,36788) = 1

We will now calculate the prime factors of 36781 and 36788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36781 and 36788.

GCF Calculator and
and

How to find the GCF of 36781 and 36788?

We will first find the prime factorization of 36781 and 36788. After we will calculate the factors of 36781 and 36788 and find the biggest common factor number .

Step-1: Prime Factorization of 36781

Prime factors of 36781 are 36781. Prime factorization of 36781 in exponential form is:

36781 = 367811

Step-2: Prime Factorization of 36788

Prime factors of 36788 are 2, 17, 541. Prime factorization of 36788 in exponential form is:

36788 = 22 × 171 × 5411

Step-3: Factors of 36781

List of positive integer factors of 36781 that divides 36781 without a remainder.

1

Step-4: Factors of 36788

List of positive integer factors of 36788 that divides 36781 without a remainder.

1, 2, 4, 17, 34, 68, 541, 1082, 2164, 9197, 18394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36781 and 36788. The biggest common factor number is the GCF number.
So the greatest common factor 36781 and 36788 is 1.

Also check out the Least Common Multiple of 36781 and 36788