What is the Greatest Common Factor of 52185 and 52202?

Greatest common factor (GCF) of 52185 and 52202 is 1.

GCF(52185,52202) = 1

We will now calculate the prime factors of 52185 and 52202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52185 and 52202.

How to find the GCF of 52185 and 52202?

We will first find the prime factorization of 52185 and 52202. After we will calculate the factors of 52185 and 52202 and find the biggest common factor number .

Step-1: Prime Factorization of 52185

Prime factors of 52185 are 3, 5, 7, 71. Prime factorization of 52185 in exponential form is:

52185 = 3¹ × 5¹ × 7² × 71¹

Step-2: Prime Factorization of 52202

Prime factors of 52202 are 2, 43, 607. Prime factorization of 52202 in exponential form is:

52202 = 2¹ × 43¹ × 607¹

Step-3: Factors of 52185

List of positive integer factors of 52185 that divides 52185 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 71, 105, 147, 213, 245, 355, 497, 735, 1065, 1491, 2485, 3479, 7455, 10437, 17395

Step-4: Factors of 52202

List of positive integer factors of 52202 that divides 52185 without a remainder.

1, 2, 43, 86, 607, 1214, 26101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52185 and 52202. The biggest common factor number is the GCF number.
So the greatest common factor 52185 and 52202 is 1.

Also check out the Least Common Multiple of 52185 and 52202