What is the Greatest Common Factor of 34194 and 34202?

Greatest common factor (GCF) of 34194 and 34202 is 2.

GCF(34194,34202) = 2

We will now calculate the prime factors of 34194 and 34202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34194 and 34202.

How to find the GCF of 34194 and 34202?

We will first find the prime factorization of 34194 and 34202. After we will calculate the factors of 34194 and 34202 and find the biggest common factor number .

Step-1: Prime Factorization of 34194

Prime factors of 34194 are 2, 3, 41, 139. Prime factorization of 34194 in exponential form is:

34194 = 2¹ × 3¹ × 41¹ × 139¹

Step-2: Prime Factorization of 34202

Prime factors of 34202 are 2, 7, 349. Prime factorization of 34202 in exponential form is:

34202 = 2¹ × 7² × 349¹

Step-3: Factors of 34194

List of positive integer factors of 34194 that divides 34194 without a remainder.

1, 2, 3, 6, 41, 82, 123, 139, 246, 278, 417, 834, 5699, 11398, 17097

Step-4: Factors of 34202

List of positive integer factors of 34202 that divides 34194 without a remainder.

1, 2, 7, 14, 49, 98, 349, 698, 2443, 4886, 17101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34194 and 34202. The biggest common factor number is the GCF number.
So the greatest common factor 34194 and 34202 is 2.

Also check out the Least Common Multiple of 34194 and 34202