What is the Greatest Common Factor of 69161 and 69180?

Greatest common factor (GCF) of 69161 and 69180 is 1.

GCF(69161,69180) = 1

We will now calculate the prime factors of 69161 and 69180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69161 and 69180.

How to find the GCF of 69161 and 69180?

We will first find the prime factorization of 69161 and 69180. After we will calculate the factors of 69161 and 69180 and find the biggest common factor number .

Step-1: Prime Factorization of 69161

Prime factors of 69161 are 23, 31, 97. Prime factorization of 69161 in exponential form is:

69161 = 23¹ × 31¹ × 97¹

Step-2: Prime Factorization of 69180

Prime factors of 69180 are 2, 3, 5, 1153. Prime factorization of 69180 in exponential form is:

69180 = 2² × 3¹ × 5¹ × 1153¹

Step-3: Factors of 69161

List of positive integer factors of 69161 that divides 69161 without a remainder.

1, 23, 31, 97, 713, 2231, 3007

Step-4: Factors of 69180

List of positive integer factors of 69180 that divides 69161 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1153, 2306, 3459, 4612, 5765, 6918, 11530, 13836, 17295, 23060, 34590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69161 and 69180. The biggest common factor number is the GCF number.
So the greatest common factor 69161 and 69180 is 1.

Also check out the Least Common Multiple of 69161 and 69180