What is the Greatest Common Factor of 69172 and 69180?

Greatest common factor (GCF) of 69172 and 69180 is 4.

GCF(69172,69180) = 4

We will now calculate the prime factors of 69172 and 69180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69172 and 69180.

How to find the GCF of 69172 and 69180?

We will first find the prime factorization of 69172 and 69180. After we will calculate the factors of 69172 and 69180 and find the biggest common factor number .

Step-1: Prime Factorization of 69172

Prime factors of 69172 are 2, 17293. Prime factorization of 69172 in exponential form is:

69172 = 2² × 17293¹

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 69172

List of positive integer factors of 69172 that divides 69172 without a remainder.

1, 2, 4, 17293, 34586

Step-4: Factors of 69180

List of positive integer factors of 69180 that divides 69172 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 69172 and 69180. The biggest common factor number is the GCF number.
So the greatest common factor 69172 and 69180 is 4.

Also check out the Least Common Multiple of 69172 and 69180