What is the Greatest Common Factor of 36781 and 36801?

Greatest common factor (GCF) of 36781 and 36801 is 1.

GCF(36781,36801) = 1

We will now calculate the prime factors of 36781 and 36801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36781 and 36801.

How to find the GCF of 36781 and 36801?

We will first find the prime factorization of 36781 and 36801. After we will calculate the factors of 36781 and 36801 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 36801

Prime factors of 36801 are 3, 29, 47. Prime factorization of 36801 in exponential form is:

36801 = 3³ × 29¹ × 47¹

Step-3: Factors of 36781

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

Step-4: Factors of 36801

List of positive integer factors of 36801 that divides 36781 without a remainder.

1, 3, 9, 27, 29, 47, 87, 141, 261, 423, 783, 1269, 1363, 4089, 12267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36781 and 36801. The biggest common factor number is the GCF number.
So the greatest common factor 36781 and 36801 is 1.

Also check out the Least Common Multiple of 36781 and 36801