What is the Greatest Common Factor of 67269 and 67284?

Greatest common factor (GCF) of 67269 and 67284 is 3.

GCF(67269,67284) = 3

We will now calculate the prime factors of 67269 and 67284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67269 and 67284.

How to find the GCF of 67269 and 67284?

We will first find the prime factorization of 67269 and 67284. After we will calculate the factors of 67269 and 67284 and find the biggest common factor number .

Step-1: Prime Factorization of 67269

Prime factors of 67269 are 3, 17, 1319. Prime factorization of 67269 in exponential form is:

67269 = 3¹ × 17¹ × 1319¹

Step-2: Prime Factorization of 67284

Prime factors of 67284 are 2, 3, 7, 89. Prime factorization of 67284 in exponential form is:

67284 = 2² × 3³ × 7¹ × 89¹

Step-3: Factors of 67269

List of positive integer factors of 67269 that divides 67269 without a remainder.

1, 3, 17, 51, 1319, 3957, 22423

Step-4: Factors of 67284

List of positive integer factors of 67284 that divides 67269 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 89, 108, 126, 178, 189, 252, 267, 356, 378, 534, 623, 756, 801, 1068, 1246, 1602, 1869, 2403, 2492, 3204, 3738, 4806, 5607, 7476, 9612, 11214, 16821, 22428, 33642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67269 and 67284. The biggest common factor number is the GCF number.
So the greatest common factor 67269 and 67284 is 3.

Also check out the Least Common Multiple of 67269 and 67284