What is the Greatest Common Factor of 67234 and 67242?

Greatest common factor (GCF) of 67234 and 67242 is 2.

GCF(67234,67242) = 2

We will now calculate the prime factors of 67234 and 67242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67234 and 67242.

How to find the GCF of 67234 and 67242?

We will first find the prime factorization of 67234 and 67242. After we will calculate the factors of 67234 and 67242 and find the biggest common factor number .

Step-1: Prime Factorization of 67234

Prime factors of 67234 are 2, 33617. Prime factorization of 67234 in exponential form is:

67234 = 2¹ × 33617¹

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 67234

List of positive integer factors of 67234 that divides 67234 without a remainder.

1, 2, 33617

Step-4: Factors of 67242

List of positive integer factors of 67242 that divides 67234 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 67234 and 67242. The biggest common factor number is the GCF number.
So the greatest common factor 67234 and 67242 is 2.

Also check out the Least Common Multiple of 67234 and 67242