What is the Greatest Common Factor of 69180 and 69184?

Greatest common factor (GCF) of 69180 and 69184 is 4.

GCF(69180,69184) = 4

We will now calculate the prime factors of 69180 and 69184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69180 and 69184.

How to find the GCF of 69180 and 69184?

We will first find the prime factorization of 69180 and 69184. After we will calculate the factors of 69180 and 69184 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69184

Prime factors of 69184 are 2, 23, 47. Prime factorization of 69184 in exponential form is:

69184 = 2⁶ × 23¹ × 47¹

Step-3: Factors of 69180

List of positive integer factors of 69180 that divides 69180 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

Step-4: Factors of 69184

List of positive integer factors of 69184 that divides 69180 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 47, 64, 92, 94, 184, 188, 368, 376, 736, 752, 1081, 1472, 1504, 2162, 3008, 4324, 8648, 17296, 34592

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69180 and 69184. The biggest common factor number is the GCF number.
So the greatest common factor 69180 and 69184 is 4.

Also check out the Least Common Multiple of 69180 and 69184