What is the Greatest Common Factor of 68185 and 68195?

Greatest common factor (GCF) of 68185 and 68195 is 5.

GCF(68185,68195) = 5

We will now calculate the prime factors of 68185 and 68195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68185 and 68195.

How to find the GCF of 68185 and 68195?

We will first find the prime factorization of 68185 and 68195. After we will calculate the factors of 68185 and 68195 and find the biggest common factor number .

Step-1: Prime Factorization of 68185

Prime factors of 68185 are 5, 13, 1049. Prime factorization of 68185 in exponential form is:

68185 = 5¹ × 13¹ × 1049¹

Step-2: Prime Factorization of 68195

Prime factors of 68195 are 5, 23, 593. Prime factorization of 68195 in exponential form is:

68195 = 5¹ × 23¹ × 593¹

Step-3: Factors of 68185

List of positive integer factors of 68185 that divides 68185 without a remainder.

1, 5, 13, 65, 1049, 5245, 13637

Step-4: Factors of 68195

List of positive integer factors of 68195 that divides 68185 without a remainder.

1, 5, 23, 115, 593, 2965, 13639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68185 and 68195. The biggest common factor number is the GCF number.
So the greatest common factor 68185 and 68195 is 5.

Also check out the Least Common Multiple of 68185 and 68195