What is the Greatest Common Factor of 82709 and 82714?

Greatest common factor (GCF) of 82709 and 82714 is 1.

GCF(82709,82714) = 1

We will now calculate the prime factors of 82709 and 82714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82709 and 82714.

How to find the GCF of 82709 and 82714?

We will first find the prime factorization of 82709 and 82714. After we will calculate the factors of 82709 and 82714 and find the biggest common factor number .

Step-1: Prime Factorization of 82709

Prime factors of 82709 are 11, 73, 103. Prime factorization of 82709 in exponential form is:

82709 = 11¹ × 73¹ × 103¹

Step-2: Prime Factorization of 82714

Prime factors of 82714 are 2, 41357. Prime factorization of 82714 in exponential form is:

82714 = 2¹ × 41357¹

Step-3: Factors of 82709

List of positive integer factors of 82709 that divides 82709 without a remainder.

1, 11, 73, 103, 803, 1133, 7519

Step-4: Factors of 82714

List of positive integer factors of 82714 that divides 82709 without a remainder.

1, 2, 41357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82709 and 82714. The biggest common factor number is the GCF number.
So the greatest common factor 82709 and 82714 is 1.

Also check out the Least Common Multiple of 82709 and 82714