What is the Greatest Common Factor of 68180 and 68194?

Greatest common factor (GCF) of 68180 and 68194 is 14.

GCF(68180,68194) = 14

We will now calculate the prime factors of 68180 and 68194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68180 and 68194.

How to find the GCF of 68180 and 68194?

We will first find the prime factorization of 68180 and 68194. After we will calculate the factors of 68180 and 68194 and find the biggest common factor number .

Step-1: Prime Factorization of 68180

Prime factors of 68180 are 2, 5, 7, 487. Prime factorization of 68180 in exponential form is:

68180 = 2² × 5¹ × 7¹ × 487¹

Step-2: Prime Factorization of 68194

Prime factors of 68194 are 2, 7, 4871. Prime factorization of 68194 in exponential form is:

68194 = 2¹ × 7¹ × 4871¹

Step-3: Factors of 68180

List of positive integer factors of 68180 that divides 68180 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 487, 974, 1948, 2435, 3409, 4870, 6818, 9740, 13636, 17045, 34090

Step-4: Factors of 68194

List of positive integer factors of 68194 that divides 68180 without a remainder.

1, 2, 7, 14, 4871, 9742, 34097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68180 and 68194. The biggest common factor number is the GCF number.
So the greatest common factor 68180 and 68194 is 14.

Also check out the Least Common Multiple of 68180 and 68194