What is the Greatest Common Factor of 52190 and 52204?

Greatest common factor (GCF) of 52190 and 52204 is 2.

GCF(52190,52204) = 2

We will now calculate the prime factors of 52190 and 52204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52190 and 52204.

How to find the GCF of 52190 and 52204?

We will first find the prime factorization of 52190 and 52204. After we will calculate the factors of 52190 and 52204 and find the biggest common factor number .

Step-1: Prime Factorization of 52190

Prime factors of 52190 are 2, 5, 17, 307. Prime factorization of 52190 in exponential form is:

52190 = 2¹ × 5¹ × 17¹ × 307¹

Step-2: Prime Factorization of 52204

Prime factors of 52204 are 2, 31, 421. Prime factorization of 52204 in exponential form is:

52204 = 2² × 31¹ × 421¹

Step-3: Factors of 52190

List of positive integer factors of 52190 that divides 52190 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 307, 614, 1535, 3070, 5219, 10438, 26095

Step-4: Factors of 52204

List of positive integer factors of 52204 that divides 52190 without a remainder.

1, 2, 4, 31, 62, 124, 421, 842, 1684, 13051, 26102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52190 and 52204. The biggest common factor number is the GCF number.
So the greatest common factor 52190 and 52204 is 2.

Also check out the Least Common Multiple of 52190 and 52204