What is the Greatest Common Factor of 67230 and 67242?

Greatest common factor (GCF) of 67230 and 67242 is 6.

GCF(67230,67242) = 6

We will now calculate the prime factors of 67230 and 67242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67230 and 67242.

How to find the GCF of 67230 and 67242?

We will first find the prime factorization of 67230 and 67242. After we will calculate the factors of 67230 and 67242 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 67242

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

67242 = 2¹ × 3¹ × 7¹ × 1601¹

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 67242

List of positive integer factors of 67242 that divides 67230 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67230 and 67242. The biggest common factor number is the GCF number.
So the greatest common factor 67230 and 67242 is 6.

Also check out the Least Common Multiple of 67230 and 67242