What is the Greatest Common Factor of 67705 and 67709?

Greatest common factor (GCF) of 67705 and 67709 is 1.

GCF(67705,67709) = 1

We will now calculate the prime factors of 67705 and 67709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67705 and 67709.

How to find the GCF of 67705 and 67709?

We will first find the prime factorization of 67705 and 67709. After we will calculate the factors of 67705 and 67709 and find the biggest common factor number .

Step-1: Prime Factorization of 67705

Prime factors of 67705 are 5, 11, 1231. Prime factorization of 67705 in exponential form is:

67705 = 5¹ × 11¹ × 1231¹

Step-2: Prime Factorization of 67709

Prime factors of 67709 are 67709. Prime factorization of 67709 in exponential form is:

67709 = 67709¹

Step-3: Factors of 67705

List of positive integer factors of 67705 that divides 67705 without a remainder.

1, 5, 11, 55, 1231, 6155, 13541

Step-4: Factors of 67709

List of positive integer factors of 67709 that divides 67705 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67705 and 67709. The biggest common factor number is the GCF number.
So the greatest common factor 67705 and 67709 is 1.

Also check out the Least Common Multiple of 67705 and 67709