What is the Greatest Common Factor of 82690 and 82710?

Greatest common factor (GCF) of 82690 and 82710 is 10.

GCF(82690,82710) = 10

We will now calculate the prime factors of 82690 and 82710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82690 and 82710.

How to find the GCF of 82690 and 82710?

We will first find the prime factorization of 82690 and 82710. After we will calculate the factors of 82690 and 82710 and find the biggest common factor number .

Step-1: Prime Factorization of 82690

Prime factors of 82690 are 2, 5, 8269. Prime factorization of 82690 in exponential form is:

82690 = 2¹ × 5¹ × 8269¹

Step-2: Prime Factorization of 82710

Prime factors of 82710 are 2, 3, 5, 919. Prime factorization of 82710 in exponential form is:

82710 = 2¹ × 3² × 5¹ × 919¹

Step-3: Factors of 82690

List of positive integer factors of 82690 that divides 82690 without a remainder.

1, 2, 5, 10, 8269, 16538, 41345

Step-4: Factors of 82710

List of positive integer factors of 82710 that divides 82690 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 919, 1838, 2757, 4595, 5514, 8271, 9190, 13785, 16542, 27570, 41355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82690 and 82710. The biggest common factor number is the GCF number.
So the greatest common factor 82690 and 82710 is 10.

Also check out the Least Common Multiple of 82690 and 82710