What is the Greatest Common Factor of 62180 and 62194?

Greatest common factor (GCF) of 62180 and 62194 is 2.

GCF(62180,62194) = 2

We will now calculate the prime factors of 62180 and 62194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62180 and 62194.

How to find the GCF of 62180 and 62194?

We will first find the prime factorization of 62180 and 62194. After we will calculate the factors of 62180 and 62194 and find the biggest common factor number .

Step-1: Prime Factorization of 62180

Prime factors of 62180 are 2, 5, 3109. Prime factorization of 62180 in exponential form is:

62180 = 2² × 5¹ × 3109¹

Step-2: Prime Factorization of 62194

Prime factors of 62194 are 2, 11, 257. Prime factorization of 62194 in exponential form is:

62194 = 2¹ × 11² × 257¹

Step-3: Factors of 62180

List of positive integer factors of 62180 that divides 62180 without a remainder.

1, 2, 4, 5, 10, 20, 3109, 6218, 12436, 15545, 31090

Step-4: Factors of 62194

List of positive integer factors of 62194 that divides 62180 without a remainder.

1, 2, 11, 22, 121, 242, 257, 514, 2827, 5654, 31097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62180 and 62194. The biggest common factor number is the GCF number.
So the greatest common factor 62180 and 62194 is 2.

Also check out the Least Common Multiple of 62180 and 62194