What is the Greatest Common Factor of 68184 and 68198?

Greatest common factor (GCF) of 68184 and 68198 is 2.

GCF(68184,68198) = 2

We will now calculate the prime factors of 68184 and 68198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68184 and 68198.

How to find the GCF of 68184 and 68198?

We will first find the prime factorization of 68184 and 68198. After we will calculate the factors of 68184 and 68198 and find the biggest common factor number .

Step-1: Prime Factorization of 68184

Prime factors of 68184 are 2, 3, 947. Prime factorization of 68184 in exponential form is:

68184 = 2³ × 3² × 947¹

Step-2: Prime Factorization of 68198

Prime factors of 68198 are 2, 13, 43, 61. Prime factorization of 68198 in exponential form is:

68198 = 2¹ × 13¹ × 43¹ × 61¹

Step-3: Factors of 68184

List of positive integer factors of 68184 that divides 68184 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 947, 1894, 2841, 3788, 5682, 7576, 8523, 11364, 17046, 22728, 34092

Step-4: Factors of 68198

List of positive integer factors of 68198 that divides 68184 without a remainder.

1, 2, 13, 26, 43, 61, 86, 122, 559, 793, 1118, 1586, 2623, 5246, 34099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68184 and 68198. The biggest common factor number is the GCF number.
So the greatest common factor 68184 and 68198 is 2.

Also check out the Least Common Multiple of 68184 and 68198