What is the Greatest Common Factor of 67257 and 67263?

Greatest common factor (GCF) of 67257 and 67263 is 3.

GCF(67257,67263) = 3

We will now calculate the prime factors of 67257 and 67263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67257 and 67263.

How to find the GCF of 67257 and 67263?

We will first find the prime factorization of 67257 and 67263. After we will calculate the factors of 67257 and 67263 and find the biggest common factor number .

Step-1: Prime Factorization of 67257

Prime factors of 67257 are 3, 47, 53. Prime factorization of 67257 in exponential form is:

67257 = 3³ × 47¹ × 53¹

Step-2: Prime Factorization of 67263

Prime factors of 67263 are 3, 7, 3203. Prime factorization of 67263 in exponential form is:

67263 = 3¹ × 7¹ × 3203¹

Step-3: Factors of 67257

List of positive integer factors of 67257 that divides 67257 without a remainder.

1, 3, 9, 27, 47, 53, 141, 159, 423, 477, 1269, 1431, 2491, 7473, 22419

Step-4: Factors of 67263

List of positive integer factors of 67263 that divides 67257 without a remainder.

1, 3, 7, 21, 3203, 9609, 22421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67257 and 67263. The biggest common factor number is the GCF number.
So the greatest common factor 67257 and 67263 is 3.

Also check out the Least Common Multiple of 67257 and 67263