What is the Greatest Common Factor of 54194 and 54202?

Greatest common factor (GCF) of 54194 and 54202 is 2.

GCF(54194,54202) = 2

We will now calculate the prime factors of 54194 and 54202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54194 and 54202.

How to find the GCF of 54194 and 54202?

We will first find the prime factorization of 54194 and 54202. After we will calculate the factors of 54194 and 54202 and find the biggest common factor number .

Step-1: Prime Factorization of 54194

Prime factors of 54194 are 2, 7, 79. Prime factorization of 54194 in exponential form is:

54194 = 2¹ × 7³ × 79¹

Step-2: Prime Factorization of 54202

Prime factors of 54202 are 2, 41, 661. Prime factorization of 54202 in exponential form is:

54202 = 2¹ × 41¹ × 661¹

Step-3: Factors of 54194

List of positive integer factors of 54194 that divides 54194 without a remainder.

1, 2, 7, 14, 49, 79, 98, 158, 343, 553, 686, 1106, 3871, 7742, 27097

Step-4: Factors of 54202

List of positive integer factors of 54202 that divides 54194 without a remainder.

1, 2, 41, 82, 661, 1322, 27101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54194 and 54202. The biggest common factor number is the GCF number.
So the greatest common factor 54194 and 54202 is 2.

Also check out the Least Common Multiple of 54194 and 54202