What is the Greatest Common Factor of 82710 and 82715?

Greatest common factor (GCF) of 82710 and 82715 is 5.

GCF(82710,82715) = 5

We will now calculate the prime factors of 82710 and 82715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82710 and 82715.

How to find the GCF of 82710 and 82715?

We will first find the prime factorization of 82710 and 82715. After we will calculate the factors of 82710 and 82715 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82715

Prime factors of 82715 are 5, 71, 233. Prime factorization of 82715 in exponential form is:

82715 = 5¹ × 71¹ × 233¹

Step-3: Factors of 82710

List of positive integer factors of 82710 that divides 82710 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

Step-4: Factors of 82715

List of positive integer factors of 82715 that divides 82710 without a remainder.

1, 5, 71, 233, 355, 1165, 16543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82710 and 82715. The biggest common factor number is the GCF number.
So the greatest common factor 82710 and 82715 is 5.

Also check out the Least Common Multiple of 82710 and 82715