What is the Greatest Common Factor of 67190 and 67205?

Greatest common factor (GCF) of 67190 and 67205 is 5.

GCF(67190,67205) = 5

We will now calculate the prime factors of 67190 and 67205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67190 and 67205.

How to find the GCF of 67190 and 67205?

We will first find the prime factorization of 67190 and 67205. After we will calculate the factors of 67190 and 67205 and find the biggest common factor number .

Step-1: Prime Factorization of 67190

Prime factors of 67190 are 2, 5, 6719. Prime factorization of 67190 in exponential form is:

67190 = 2¹ × 5¹ × 6719¹

Step-2: Prime Factorization of 67205

Prime factors of 67205 are 5, 13441. Prime factorization of 67205 in exponential form is:

67205 = 5¹ × 13441¹

Step-3: Factors of 67190

List of positive integer factors of 67190 that divides 67190 without a remainder.

1, 2, 5, 10, 6719, 13438, 33595

Step-4: Factors of 67205

List of positive integer factors of 67205 that divides 67190 without a remainder.

1, 5, 13441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67190 and 67205. The biggest common factor number is the GCF number.
So the greatest common factor 67190 and 67205 is 5.

Also check out the Least Common Multiple of 67190 and 67205