What is the Greatest Common Factor of 67242 and 67257?

Greatest common factor (GCF) of 67242 and 67257 is 3.

GCF(67242,67257) = 3

We will now calculate the prime factors of 67242 and 67257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67242 and 67257.

How to find the GCF of 67242 and 67257?

We will first find the prime factorization of 67242 and 67257. After we will calculate the factors of 67242 and 67257 and find the biggest common factor number .

Step-1: Prime Factorization of 67242

Prime factors of 67242 are 2, 3, 7, 1601. Prime factorization of 67242 in exponential form is:

67242 = 2¹ × 3¹ × 7¹ × 1601¹

Step-2: 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-3: Factors of 67242

List of positive integer factors of 67242 that divides 67242 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1601, 3202, 4803, 9606, 11207, 22414, 33621

Step-4: Factors of 67257

List of positive integer factors of 67257 that divides 67242 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67242 and 67257. The biggest common factor number is the GCF number.
So the greatest common factor 67242 and 67257 is 3.

Also check out the Least Common Multiple of 67242 and 67257