What is the Greatest Common Factor of 6195 and 6202?

Greatest common factor (GCF) of 6195 and 6202 is 7.

GCF(6195,6202) = 7

We will now calculate the prime factors of 6195 and 6202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6195 and 6202.

How to find the GCF of 6195 and 6202?

We will first find the prime factorization of 6195 and 6202. After we will calculate the factors of 6195 and 6202 and find the biggest common factor number .

Step-1: Prime Factorization of 6195

Prime factors of 6195 are 3, 5, 7, 59. Prime factorization of 6195 in exponential form is:

6195 = 3¹ × 5¹ × 7¹ × 59¹

Step-2: Prime Factorization of 6202

Prime factors of 6202 are 2, 7, 443. Prime factorization of 6202 in exponential form is:

6202 = 2¹ × 7¹ × 443¹

Step-3: Factors of 6195

List of positive integer factors of 6195 that divides 6195 without a remainder.

1, 3, 5, 7, 15, 21, 35, 59, 105, 177, 295, 413, 885, 1239, 2065

Step-4: Factors of 6202

List of positive integer factors of 6202 that divides 6195 without a remainder.

1, 2, 7, 14, 443, 886, 3101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6195 and 6202. The biggest common factor number is the GCF number.
So the greatest common factor 6195 and 6202 is 7.

Also check out the Least Common Multiple of 6195 and 6202