What is the Greatest Common Factor of 67188 and 67202?

Greatest common factor (GCF) of 67188 and 67202 is 2.

GCF(67188,67202) = 2

We will now calculate the prime factors of 67188 and 67202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67188 and 67202.

How to find the GCF of 67188 and 67202?

We will first find the prime factorization of 67188 and 67202. After we will calculate the factors of 67188 and 67202 and find the biggest common factor number .

Step-1: Prime Factorization of 67188

Prime factors of 67188 are 2, 3, 11, 509. Prime factorization of 67188 in exponential form is:

67188 = 2² × 3¹ × 11¹ × 509¹

Step-2: Prime Factorization of 67202

Prime factors of 67202 are 2, 33601. Prime factorization of 67202 in exponential form is:

67202 = 2¹ × 33601¹

Step-3: Factors of 67188

List of positive integer factors of 67188 that divides 67188 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 509, 1018, 1527, 2036, 3054, 5599, 6108, 11198, 16797, 22396, 33594

Step-4: Factors of 67202

List of positive integer factors of 67202 that divides 67188 without a remainder.

1, 2, 33601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67188 and 67202. The biggest common factor number is the GCF number.
So the greatest common factor 67188 and 67202 is 2.

Also check out the Least Common Multiple of 67188 and 67202