What is the Greatest Common Factor of 67230 and 67249?

Greatest common factor (GCF) of 67230 and 67249 is 1.

GCF(67230,67249) = 1

We will now calculate the prime factors of 67230 and 67249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67230 and 67249.

How to find the GCF of 67230 and 67249?

We will first find the prime factorization of 67230 and 67249. After we will calculate the factors of 67230 and 67249 and find the biggest common factor number .

Step-1: Prime Factorization of 67230

Prime factors of 67230 are 2, 3, 5, 83. Prime factorization of 67230 in exponential form is:

67230 = 2¹ × 3⁴ × 5¹ × 83¹

Step-2: Prime Factorization of 67249

Prime factors of 67249 are 7, 13, 739. Prime factorization of 67249 in exponential form is:

67249 = 7¹ × 13¹ × 739¹

Step-3: Factors of 67230

List of positive integer factors of 67230 that divides 67230 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 83, 90, 135, 162, 166, 249, 270, 405, 415, 498, 747, 810, 830, 1245, 1494, 2241, 2490, 3735, 4482, 6723, 7470, 11205, 13446, 22410, 33615

Step-4: Factors of 67249

List of positive integer factors of 67249 that divides 67230 without a remainder.

1, 7, 13, 91, 739, 5173, 9607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67230 and 67249. The biggest common factor number is the GCF number.
So the greatest common factor 67230 and 67249 is 1.

Also check out the Least Common Multiple of 67230 and 67249