What is the Greatest Common Factor of 67224 and 67242?

Greatest common factor (GCF) of 67224 and 67242 is 6.

GCF(67224,67242) = 6

We will now calculate the prime factors of 67224 and 67242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67224 and 67242.

How to find the GCF of 67224 and 67242?

We will first find the prime factorization of 67224 and 67242. After we will calculate the factors of 67224 and 67242 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 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 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 67242

List of positive integer factors of 67242 that divides 67224 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 67224 and 67242. The biggest common factor number is the GCF number.
So the greatest common factor 67224 and 67242 is 6.

Also check out the Least Common Multiple of 67224 and 67242