What is the Greatest Common Factor of 67284 and 67292?

Greatest common factor (GCF) of 67284 and 67292 is 4.

GCF(67284,67292) = 4

We will now calculate the prime factors of 67284 and 67292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67284 and 67292.

How to find the GCF of 67284 and 67292?

We will first find the prime factorization of 67284 and 67292. After we will calculate the factors of 67284 and 67292 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67292

Prime factors of 67292 are 2, 16823. Prime factorization of 67292 in exponential form is:

67292 = 2² × 16823¹

Step-3: Factors of 67284

List of positive integer factors of 67284 that divides 67284 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

Step-4: Factors of 67292

List of positive integer factors of 67292 that divides 67284 without a remainder.

1, 2, 4, 16823, 33646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67284 and 67292. The biggest common factor number is the GCF number.
So the greatest common factor 67284 and 67292 is 4.

Also check out the Least Common Multiple of 67284 and 67292