What is the Greatest Common Factor of 60695 and 60709?

Greatest common factor (GCF) of 60695 and 60709 is 1.

GCF(60695,60709) = 1

We will now calculate the prime factors of 60695 and 60709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60695 and 60709.

How to find the GCF of 60695 and 60709?

We will first find the prime factorization of 60695 and 60709. After we will calculate the factors of 60695 and 60709 and find the biggest common factor number .

Step-1: Prime Factorization of 60695

Prime factors of 60695 are 5, 61, 199. Prime factorization of 60695 in exponential form is:

60695 = 5¹ × 61¹ × 199¹

Step-2: Prime Factorization of 60709

Prime factors of 60709 are 11, 5519. Prime factorization of 60709 in exponential form is:

60709 = 11¹ × 5519¹

Step-3: Factors of 60695

List of positive integer factors of 60695 that divides 60695 without a remainder.

1, 5, 61, 199, 305, 995, 12139

Step-4: Factors of 60709

List of positive integer factors of 60709 that divides 60695 without a remainder.

1, 11, 5519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60695 and 60709. The biggest common factor number is the GCF number.
So the greatest common factor 60695 and 60709 is 1.

Also check out the Least Common Multiple of 60695 and 60709