What is the Greatest Common Factor of 67193 and 67202?

Greatest common factor (GCF) of 67193 and 67202 is 1.

GCF(67193,67202) = 1

We will now calculate the prime factors of 67193 and 67202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67193 and 67202.

How to find the GCF of 67193 and 67202?

We will first find the prime factorization of 67193 and 67202. After we will calculate the factors of 67193 and 67202 and find the biggest common factor number .

Step-1: Prime Factorization of 67193

Prime factors of 67193 are 7, 29, 331. Prime factorization of 67193 in exponential form is:

67193 = 7¹ × 29¹ × 331¹

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 67193

List of positive integer factors of 67193 that divides 67193 without a remainder.

1, 7, 29, 203, 331, 2317, 9599

Step-4: Factors of 67202

List of positive integer factors of 67202 that divides 67193 without a remainder.

1, 2, 33601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67193 and 67202. The biggest common factor number is the GCF number.
So the greatest common factor 67193 and 67202 is 1.

Also check out the Least Common Multiple of 67193 and 67202