What is the Greatest Common Factor of 67224 and 67230?

Greatest common factor (GCF) of 67224 and 67230 is 6.

GCF(67224,67230) = 6

We will now calculate the prime factors of 67224 and 67230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67224 and 67230.

How to find the GCF of 67224 and 67230?

We will first find the prime factorization of 67224 and 67230. After we will calculate the factors of 67224 and 67230 and find the biggest common factor number .

Step-1: Prime Factorization of 67224

Prime factors of 67224 are 2, 3, 2801. Prime factorization of 67224 in exponential form is:

67224 = 2³ × 3¹ × 2801¹

Step-2: 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-3: Factors of 67224

List of positive integer factors of 67224 that divides 67224 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2801, 5602, 8403, 11204, 16806, 22408, 33612

Step-4: Factors of 67230

List of positive integer factors of 67230 that divides 67224 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67224 and 67230. The biggest common factor number is the GCF number.
So the greatest common factor 67224 and 67230 is 6.

Also check out the Least Common Multiple of 67224 and 67230