What is the Greatest Common Factor of 36084 and 36101?

Greatest common factor (GCF) of 36084 and 36101 is 1.

GCF(36084,36101) = 1

We will now calculate the prime factors of 36084 and 36101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36084 and 36101.

How to find the GCF of 36084 and 36101?

We will first find the prime factorization of 36084 and 36101. After we will calculate the factors of 36084 and 36101 and find the biggest common factor number .

Step-1: Prime Factorization of 36084

Prime factors of 36084 are 2, 3, 31, 97. Prime factorization of 36084 in exponential form is:

36084 = 2² × 3¹ × 31¹ × 97¹

Step-2: Prime Factorization of 36101

Prime factors of 36101 are 13, 2777. Prime factorization of 36101 in exponential form is:

36101 = 13¹ × 2777¹

Step-3: Factors of 36084

List of positive integer factors of 36084 that divides 36084 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 97, 124, 186, 194, 291, 372, 388, 582, 1164, 3007, 6014, 9021, 12028, 18042

Step-4: Factors of 36101

List of positive integer factors of 36101 that divides 36084 without a remainder.

1, 13, 2777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36084 and 36101. The biggest common factor number is the GCF number.
So the greatest common factor 36084 and 36101 is 1.

Also check out the Least Common Multiple of 36084 and 36101