What is the Greatest Common Factor of 67228 and 67242?

Greatest common factor (GCF) of 67228 and 67242 is 14.

GCF(67228,67242) = 14

We will now calculate the prime factors of 67228 and 67242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67228 and 67242.

How to find the GCF of 67228 and 67242?

We will first find the prime factorization of 67228 and 67242. After we will calculate the factors of 67228 and 67242 and find the biggest common factor number .

Step-1: Prime Factorization of 67228

Prime factors of 67228 are 2, 7. Prime factorization of 67228 in exponential form is:

67228 = 2² × 7⁵

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 67228

List of positive integer factors of 67228 that divides 67228 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604, 16807, 33614

Step-4: Factors of 67242

List of positive integer factors of 67242 that divides 67228 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 67228 and 67242. The biggest common factor number is the GCF number.
So the greatest common factor 67228 and 67242 is 14.

Also check out the Least Common Multiple of 67228 and 67242