What is the Greatest Common Factor of 62184 and 62198?

Greatest common factor (GCF) of 62184 and 62198 is 2.

GCF(62184,62198) = 2

We will now calculate the prime factors of 62184 and 62198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62184 and 62198.

How to find the GCF of 62184 and 62198?

We will first find the prime factorization of 62184 and 62198. After we will calculate the factors of 62184 and 62198 and find the biggest common factor number .

Step-1: Prime Factorization of 62184

Prime factors of 62184 are 2, 3, 2591. Prime factorization of 62184 in exponential form is:

62184 = 2³ × 3¹ × 2591¹

Step-2: Prime Factorization of 62198

Prime factors of 62198 are 2, 137, 227. Prime factorization of 62198 in exponential form is:

62198 = 2¹ × 137¹ × 227¹

Step-3: Factors of 62184

List of positive integer factors of 62184 that divides 62184 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2591, 5182, 7773, 10364, 15546, 20728, 31092

Step-4: Factors of 62198

List of positive integer factors of 62198 that divides 62184 without a remainder.

1, 2, 137, 227, 274, 454, 31099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62184 and 62198. The biggest common factor number is the GCF number.
So the greatest common factor 62184 and 62198 is 2.

Also check out the Least Common Multiple of 62184 and 62198