What is the Greatest Common Factor of 52198 and 52202?

Greatest common factor (GCF) of 52198 and 52202 is 2.

GCF(52198,52202) = 2

We will now calculate the prime factors of 52198 and 52202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52198 and 52202.

How to find the GCF of 52198 and 52202?

We will first find the prime factorization of 52198 and 52202. After we will calculate the factors of 52198 and 52202 and find the biggest common factor number .

Step-1: Prime Factorization of 52198

Prime factors of 52198 are 2, 26099. Prime factorization of 52198 in exponential form is:

52198 = 2¹ × 26099¹

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 52198

List of positive integer factors of 52198 that divides 52198 without a remainder.

1, 2, 26099

Step-4: Factors of 52202

List of positive integer factors of 52202 that divides 52198 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52198 and 52202. The biggest common factor number is the GCF number.
So the greatest common factor 52198 and 52202 is 2.

Also check out the Least Common Multiple of 52198 and 52202