What is the Greatest Common Factor of 67257 and 67272?

Greatest common factor (GCF) of 67257 and 67272 is 3.

GCF(67257,67272) = 3

We will now calculate the prime factors of 67257 and 67272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67257 and 67272.

How to find the GCF of 67257 and 67272?

We will first find the prime factorization of 67257 and 67272. After we will calculate the factors of 67257 and 67272 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 67272

Prime factors of 67272 are 2, 3, 2803. Prime factorization of 67272 in exponential form is:

67272 = 2³ × 3¹ × 2803¹

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 67272

List of positive integer factors of 67272 that divides 67257 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2803, 5606, 8409, 11212, 16818, 22424, 33636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67257 and 67272. The biggest common factor number is the GCF number.
So the greatest common factor 67257 and 67272 is 3.

Also check out the Least Common Multiple of 67257 and 67272