What is the Greatest Common Factor of 82710 and 82730?

Greatest common factor (GCF) of 82710 and 82730 is 10.

GCF(82710,82730) = 10

We will now calculate the prime factors of 82710 and 82730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82710 and 82730.

How to find the GCF of 82710 and 82730?

We will first find the prime factorization of 82710 and 82730. After we will calculate the factors of 82710 and 82730 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 82730

Prime factors of 82730 are 2, 5, 8273. Prime factorization of 82730 in exponential form is:

82730 = 2¹ × 5¹ × 8273¹

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 82730

List of positive integer factors of 82730 that divides 82710 without a remainder.

1, 2, 5, 10, 8273, 16546, 41365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82710 and 82730. The biggest common factor number is the GCF number.
So the greatest common factor 82710 and 82730 is 10.

Also check out the Least Common Multiple of 82710 and 82730