What is the Greatest Common Factor of 68045 and 68065?

Greatest common factor (GCF) of 68045 and 68065 is 5.

GCF(68045,68065) = 5

We will now calculate the prime factors of 68045 and 68065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68045 and 68065.

How to find the GCF of 68045 and 68065?

We will first find the prime factorization of 68045 and 68065. After we will calculate the factors of 68045 and 68065 and find the biggest common factor number .

Step-1: Prime Factorization of 68045

Prime factors of 68045 are 5, 31, 439. Prime factorization of 68045 in exponential form is:

68045 = 5¹ × 31¹ × 439¹

Step-2: Prime Factorization of 68065

Prime factors of 68065 are 5, 13613. Prime factorization of 68065 in exponential form is:

68065 = 5¹ × 13613¹

Step-3: Factors of 68045

List of positive integer factors of 68045 that divides 68045 without a remainder.

1, 5, 31, 155, 439, 2195, 13609

Step-4: Factors of 68065

List of positive integer factors of 68065 that divides 68045 without a remainder.

1, 5, 13613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68045 and 68065. The biggest common factor number is the GCF number.
So the greatest common factor 68045 and 68065 is 5.

Also check out the Least Common Multiple of 68045 and 68065