What is the Greatest Common Factor of 36179 and 36197?

Greatest common factor (GCF) of 36179 and 36197 is 1.

GCF(36179,36197) = 1

We will now calculate the prime factors of 36179 and 36197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36179 and 36197.

How to find the GCF of 36179 and 36197?

We will first find the prime factorization of 36179 and 36197. After we will calculate the factors of 36179 and 36197 and find the biggest common factor number .

Step-1: Prime Factorization of 36179

Prime factors of 36179 are 11, 13, 23. Prime factorization of 36179 in exponential form is:

36179 = 11² × 13¹ × 23¹

Step-2: Prime Factorization of 36197

Prime factors of 36197 are 7, 5171. Prime factorization of 36197 in exponential form is:

36197 = 7¹ × 5171¹

Step-3: Factors of 36179

List of positive integer factors of 36179 that divides 36179 without a remainder.

1, 11, 13, 23, 121, 143, 253, 299, 1573, 2783, 3289

Step-4: Factors of 36197

List of positive integer factors of 36197 that divides 36179 without a remainder.

1, 7, 5171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36179 and 36197. The biggest common factor number is the GCF number.
So the greatest common factor 36179 and 36197 is 1.

Also check out the Least Common Multiple of 36179 and 36197