What is the Greatest Common Factor of 67230 and 67240?

Greatest common factor (GCF) of 67230 and 67240 is 10.

GCF(67230,67240) = 10

We will now calculate the prime factors of 67230 and 67240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67230 and 67240.

How to find the GCF of 67230 and 67240?

We will first find the prime factorization of 67230 and 67240. After we will calculate the factors of 67230 and 67240 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 67240

Prime factors of 67240 are 2, 5, 41. Prime factorization of 67240 in exponential form is:

67240 = 2³ × 5¹ × 41²

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 67240

List of positive integer factors of 67240 that divides 67230 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 41, 82, 164, 205, 328, 410, 820, 1640, 1681, 3362, 6724, 8405, 13448, 16810, 33620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67230 and 67240. The biggest common factor number is the GCF number.
So the greatest common factor 67230 and 67240 is 10.

Also check out the Least Common Multiple of 67230 and 67240