What is the Greatest Common Factor of 7186 and 7202?

Greatest common factor (GCF) of 7186 and 7202 is 2.

GCF(7186,7202) = 2

We will now calculate the prime factors of 7186 and 7202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7186 and 7202.

How to find the GCF of 7186 and 7202?

We will first find the prime factorization of 7186 and 7202. After we will calculate the factors of 7186 and 7202 and find the biggest common factor number .

Step-1: Prime Factorization of 7186

Prime factors of 7186 are 2, 3593. Prime factorization of 7186 in exponential form is:

7186 = 2¹ × 3593¹

Step-2: Prime Factorization of 7202

Prime factors of 7202 are 2, 13, 277. Prime factorization of 7202 in exponential form is:

7202 = 2¹ × 13¹ × 277¹

Step-3: Factors of 7186

List of positive integer factors of 7186 that divides 7186 without a remainder.

1, 2, 3593

Step-4: Factors of 7202

List of positive integer factors of 7202 that divides 7186 without a remainder.

1, 2, 13, 26, 277, 554, 3601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7186 and 7202. The biggest common factor number is the GCF number.
So the greatest common factor 7186 and 7202 is 2.

Also check out the Least Common Multiple of 7186 and 7202